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13032112111122 = 23131731734342969
BaseRepresentation
bin1011110110100100011001…
…1010011011111000010010
31201010212011022002210102110
42331221012122123320102
53202004231200023442
643414511502330150
72513352613135536
oct275510632337022
951125138083373
1013032112111122
1141749845a4105
121565863b89956
13736bcc7bbac0
14330a86b8dbc6
15178edd91b69c
hexbda4669be12

13032112111122 has 128 divisors (see below), whose sum is σ = 31099278551040. Its totient is φ = 3602231377920.

The previous prime is 13032112111103. The next prime is 13032112111141. The reversal of 13032112111122 is 22111121123031.

It is an interprime number because it is at equal distance from previous prime (13032112111103) and next prime (13032112111141).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829254 + ... + 5172222.

It is an arithmetic number, because the mean of its divisors is an integer number (242963113680).

Almost surely, 213032112111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032112111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549639275520).

13032112111122 is an abundant number, since it is smaller than the sum of its proper divisors (18067166439918).

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

13032112111122 is a wasteful number, since it uses less digits than its factorization.

13032112111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343108.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 13032112111122 its reverse (22111121123031), we get a palindrome (35143233234153).

The spelling of 13032112111122 in words is "thirteen trillion, thirty-two billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 73 78 93 102 146 186 219 221 403 438 442 527 663 806 949 1054 1209 1241 1326 1581 1898 2263 2418 2482 2847 3162 3723 4526 5694 6789 6851 7446 13578 13702 16133 20553 29419 32266 38471 41106 48399 58838 76942 88257 96798 115413 176514 230826 500123 1000246 1500369 3000738 4342969 8685938 13028907 26057814 56458597 73830473 112917194 134632039 147660946 169375791 221491419 269264078 317036737 338751582 403896117 442982838 634073474 807792234 951110211 959796149 1750216507 1902220422 1919592298 2288744663 2879388447 3500433014 4121477581 4577489326 5250649521 5389624529 5758776894 6866233989 8242955162 9828138847 10501299042 10779249058 12364432743 13732467978 16168873587 19656277694 24728865486 29484416541 29753680619 32337747174 58968833082 59507361238 70065118877 89261041857 127765805011 140130237754 167078360399 178522083714 210195356631 255531610022 334156720798 383297415033 420390713262 501235081197 766594830066 1002470162394 2172018685187 4344037370374 6516056055561 13032112111122