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10111210122 = 2313172929067
BaseRepresentation
bin10010110101010110…
…01101001010001010
3222002200000200201210
421122223031022022
5131201432210442
64351154153550
7505364603466
oct113253151212
928080020653
1010111210122
114319572902
121b622828b6
13c51a57590
146bcc314a6
153e2a2919c
hex25aacd28a

10111210122 has 96 divisors (see below), whose sum is σ = 23884241472. Its totient is φ = 2826851328.

The previous prime is 10111210117. The next prime is 10111210133. The reversal of 10111210122 is 22101211101.

It is a junction number, because it is equal to n+sod(n) for n = 10111210098 and 10111210107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110633 + ... + 1119699.

It is an arithmetic number, because the mean of its divisors is an integer number (248794182).

Almost surely, 210111210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942120736).

10111210122 is an abundant number, since it is smaller than the sum of its proper divisors (13773031350).

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

10111210122 is a wasteful number, since it uses less digits than its factorization.

10111210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111210122 its reverse (22101211101), we get a palindrome (32212421223).

The spelling of 10111210122 in words is "ten billion, one hundred eleven million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 29 34 39 51 58 78 87 102 174 221 377 442 493 663 754 841 986 1131 1326 1479 1682 2262 2523 2958 5046 6409 9067 10933 12818 14297 18134 19227 21866 27201 28594 32799 38454 42891 54402 65598 85782 117871 154139 185861 235742 262943 308278 353613 371722 462417 525886 557583 707226 788829 924834 1115166 1577658 2003807 3418259 4007614 4470031 6011421 6836518 7625347 8940062 10254777 12022842 13410093 15250694 20509554 22876041 26820186 45752082 58110403 99129511 116220806 129630899 174331209 198259022 259261798 297388533 348662418 388892697 594777066 777785394 1685201687 3370403374 5055605061 10111210122