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202220111021220 = 223257334614446593
BaseRepresentation
bin101101111110101100001001…
…111000100100010010100100
3222112000001110020012022202200
4231332230021320210102210
5203001133241410134340
61554030345253334500
760410630602530525
oct5576541170442244
9875001406168680
10202220111021220
1159485081893226
121a81b742037430
1388ab37551c176
1437d17114da84c
15185a320d8c330
hexb7eb09e244a4

202220111021220 has 144 divisors (see below), whose sum is σ = 621983556924912. Its totient is φ = 53171279953920.

The previous prime is 202220111021189. The next prime is 202220111021251. The reversal of 202220111021220 is 22120111022202.

It is a happy number.

202220111021220 is a `hidden beast` number, since 202 + 220 + 1 + 1 + 1 + 0 + 21 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (202220111021189) and next prime (202220111021251).

It can be written as a sum of positive squares in 8 ways, for example, as 30078731110464 + 172141379910756 = 5484408^2 + 13120266^2 .

It is a super-2 number, since 2×2022201110212202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202220111021193 and 202220111021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43254244 + ... + 47700836.

It is an arithmetic number, because the mean of its divisors is an integer number (4319330256423).

Almost surely, 2202220111021220 is an apocalyptic number.

202220111021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202220111021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310991778462456).

202220111021220 is an abundant number, since it is smaller than the sum of its proper divisors (419763445903692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202220111021220 is a wasteful number, since it uses less digits than its factorization.

202220111021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450142 (or 4450137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202220111021220 its reverse (22120111022202), we get a palindrome (224340222043422).

The spelling of 202220111021220 in words is "two hundred two trillion, two hundred twenty billion, one hundred eleven million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 3461 4380 6570 6922 10383 13140 13844 17305 20766 31149 34610 41532 51915 62298 69220 103830 124596 155745 207660 252653 311490 505306 622980 757959 1010612 1263265 1515918 2273877 2526530 3031836 3789795 4446593 4547754 5053060 7579590 8893186 9095508 11369385 13339779 15159180 17786372 22232965 22738770 26679558 40019337 44465930 45477540 53359116 66698895 80038674 88931860 133397790 160077348 200096685 266795580 324601289 400193370 649202578 800386740 973803867 1298405156 1623006445 1947607734 2921411601 3246012890 3895215468 4869019335 5842823202 6492025780 9738038670 11685646404 14607058005 15389658373 19476077340 29214116010 30779316746 46168975119 58428232020 61558633492 76948291865 92337950238 138506925357 153896583730 184675900476 230844875595 277013850714 307793167460 461689751190 554027701428 692534626785 923379502380 1123445061229 1385069253570 2246890122458 2770138507140 3370335183687 4493780244916 5617225306145 6740670367374 10111005551061 11234450612290 13481340734748 16851675918435 20222011102122 22468901224580 33703351836870 40444022204244 50555027755305 67406703673740 101110055510610 202220111021220