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10311013120122 = 232111312731541989
BaseRepresentation
bin1001011000001011100001…
…0001100011100001111010
31100111201112020021202020100
42112002320101203201322
52322413423324320442
633532451455340230
72112642342265611
oct226027021434172
940451466252210
1010311013120122
11331597010a490
1211a6415521676
1359a42a826550
142790acb98878
1512d32e3d384c
hex960b846387a

10311013120122 has 96 divisors (see below), whose sum is σ = 26452879165440. Its totient is φ = 2861489151360.

The previous prime is 10311013120103. The next prime is 10311013120123. The reversal of 10311013120122 is 22102131011301.

10311013120122 is a `hidden beast` number, since 1 + 0 + 311 + 0 + 131 + 201 + 22 = 666.

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 = 10311013120095 and 10311013120104.

It is not an unprimeable number, because it can be changed into a prime (10311013120123) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15444097 + ... + 16097892.

It is an arithmetic number, because the mean of its divisors is an integer number (275550824640).

Almost surely, 210311013120122 is an apocalyptic number.

10311013120122 is an abundant number, since it is smaller than the sum of its proper divisors (16141866045318).

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

10311013120122 is a wasteful number, since it uses less digits than its factorization.

10311013120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31542148 (or 31542145 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10311013120122 its reverse (22102131011301), we get a palindrome (32413144131423).

The spelling of 10311013120122 in words is "ten trillion, three hundred eleven billion, thirteen million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 127 143 198 234 254 286 381 429 762 858 1143 1287 1397 1651 2286 2574 2794 3302 4191 4953 8382 9906 12573 14859 18161 25146 29718 36322 54483 108966 163449 326898 31541989 63083978 94625967 189251934 283877901 346961879 410045857 567755802 693923758 820091714 1040885637 1230137571 2081771274 2460275142 3122656911 3690412713 4005832603 4510504427 6245313822 7380825426 8011665206 9021008854 12017497809 13531513281 24034995618 27063026562 36052493427 40594539843 44064158633 52075823839 72104986854 81189079686 88128317266 104151647678 132192475899 156227471517 264384951798 312454943034 396577427697 468682414551 572834062229 793154855394 937364829102 1145668124458 1718502186687 3437004373374 5155506560061 10311013120122