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10122211220 = 22511238772281
BaseRepresentation
bin10010110110101010…
…01010111110010100
3222010102201121101212
421123111022332110
5131212241224340
64352230040552
7505560242612
oct113325127624
928112647355
1010122211220
1143247a7120
121b65aa9158
13c541099c4
146c04966b2
153e399da65
hex25b54af94

10122211220 has 96 divisors (see below), whose sum is σ = 24235497216. Its totient is φ = 3515212800.

The previous prime is 10122211199. The next prime is 10122211237. The reversal of 10122211220 is 2211222101.

It is a junction number, because it is equal to n+sod(n) for n = 10122211195 and 10122211204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4436480 + ... + 4438760.

It is an arithmetic number, because the mean of its divisors is an integer number (252453096).

Almost surely, 210122211220 is an apocalyptic number.

10122211220 is a gapful number since it is divisible by the number (10) 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 10122211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117748608).

10122211220 is an abundant number, since it is smaller than the sum of its proper divisors (14113285996).

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

10122211220 is a wasteful number, since it uses less digits than its factorization.

10122211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122211220 its reverse (2211222101), we get a palindrome (12333433321).

The spelling of 10122211220 in words is "ten billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 877 1012 1265 1754 2281 2530 3508 4385 4562 5060 8770 9124 9647 11405 17540 19294 20171 22810 25091 38588 40342 45620 48235 50182 52463 80684 96470 100364 100855 104926 125455 192940 201710 209852 221881 250910 262315 403420 443762 501820 524630 577093 887524 1049260 1109405 1154186 2000437 2218810 2308372 2885465 4000874 4437620 5770930 8001748 10002185 11541860 20004370 22004807 40008740 44009614 46010051 88019228 92020102 110024035 184040204 220048070 230050255 440096140 460100510 506110561 920201020 1012221122 2024442244 2530552805 5061105610 10122211220