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220200031020 = 223516785725643
BaseRepresentation
bin1100110100010011110…
…0011101001100101100
3210001101010012120201110
43031010330131030230
512101432201443040
6245054122512020
721623522244504
oct3150474351454
9701333176643
10220200031020
11854281a4512
1236814665610
13179c3292258
14a92cb96a04
155adba53980
hex3344f1d32c

220200031020 has 96 divisors (see below), whose sum is σ = 621000027648. Its totient is φ = 58298010112.

The previous prime is 220200030961. The next prime is 220200031049. The reversal of 220200031020 is 20130002022.

220200031020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2202000310202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220200030987 and 220200031005.

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, 8574319 + ... + 8599961.

It is an arithmetic number, because the mean of its divisors is an integer number (6468750288).

Almost surely, 2220200031020 is an apocalyptic number.

220200031020 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 220200031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310500013824).

220200031020 is an abundant number, since it is smaller than the sum of its proper divisors (400799996628).

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

220200031020 is a wasteful number, since it uses less digits than its factorization.

220200031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26679 (or 26677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 220200031020 its reverse (20130002022), we get a palindrome (240330033042).

The spelling of 220200031020 in words is "two hundred twenty billion, two hundred million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 857 1002 1670 1714 2004 2505 2571 3340 3428 4285 5010 5142 8570 10020 10284 12855 17140 25643 25710 51286 51420 76929 102572 128215 143119 153858 256430 286238 307716 384645 429357 512860 572476 715595 769290 858714 1431190 1538580 1717428 2146785 2862380 4282381 4293570 8564762 8587140 12847143 17129524 21411905 21976051 25694286 42823810 43952102 51388572 64235715 65928153 85647620 87904204 109880255 128471430 131856306 219760510 256942860 263712612 329640765 439521020 659281530 1318563060 3670000517 7340001034 11010001551 14680002068 18350002585 22020003102 36700005170 44040006204 55050007755 73400010340 110100015510 220200031020