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201221222020 = 225713419263869
BaseRepresentation
bin1011101101100110111…
…0000010111010000100
3201020101110020012011121
42323121232002322010
511244100113101040
6232234553043324
720352310111030
oct2733156027204
9636343205147
10201221222020
11783791523a5
1232bb86b6544
1315c8a334060
149a4c3771c0
15537a7a2c4a
hex2ed9b82e84

201221222020 has 96 divisors (see below), whose sum is σ = 521322681600. Its totient is φ = 63530970624.

The previous prime is 201221221997. The next prime is 201221222039. The reversal of 201221222020 is 20222122102.

201221222020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201221221985 and 201221222003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630646 + ... + 894514.

It is an arithmetic number, because the mean of its divisors is an integer number (5430444600).

Almost surely, 2201221222020 is an apocalyptic number.

201221222020 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 201221222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260661340800).

201221222020 is an abundant number, since it is smaller than the sum of its proper divisors (320101459580).

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

201221222020 is a wasteful number, since it uses less digits than its factorization.

201221222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264317 (or 264315 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201221222020 its reverse (20222122102), we get a palindrome (221443344122).

The spelling of 201221222020 in words is "two hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 419 455 838 910 1676 1820 2095 2933 4190 5447 5866 8380 10894 11732 14665 21788 27235 29330 38129 54470 58660 76258 108940 152516 190645 263869 381290 527738 762580 1055476 1319345 1847083 2638690 3430297 3694166 5277380 6860594 7388332 9235415 13721188 17151485 18470830 24012079 34302970 36941660 48024158 68605940 96048316 110561111 120060395 221122222 240120790 442244444 480241580 552805555 773927777 1105611110 1437294443 1547855554 2211222220 2874588886 3095711108 3869638885 5749177772 7186472215 7739277770 10061061101 14372944430 15478555540 20122122202 28745888860 40244244404 50305305505 100610611010 201221222020