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110130310331328 = 2637175346743979
BaseRepresentation
bin11001000010100110110110…
…000001101011101111000000
3112102221100120200102111021210
4121002212312001223233000
5103413333333421100303
61030121055514250120
732124436520203140
oct3102466601535700
9472840520374253
10110130310331328
11321000030aa8a1
1210427baa126940
13495b3225503a1
141d2a49a70c920
15caeb1e926203
hex6429b606bbc0

110130310331328 has 112 divisors (see below), whose sum is σ = 333203055898880. Its totient is φ = 31447852591104.

The previous prime is 110130310331161. The next prime is 110130310331329. The reversal of 110130310331328 is 823133013031011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1101303103313282 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110130310331295 and 110130310331304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110130310331329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21015958 + ... + 25728021.

Almost surely, 2110130310331328 is an apocalyptic number.

It is an amenable number.

110130310331328 is an abundant number, since it is smaller than the sum of its proper divisors (223072745567552).

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

110130310331328 is a wasteful number, since it uses less digits than its factorization.

110130310331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46745754 (or 46745744 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

Adding to 110130310331328 its reverse (823133013031011), we get a palindrome (933263323362339).

The spelling of 110130310331328 in words is "one hundred ten trillion, one hundred thirty billion, three hundred ten million, three hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1753 3506 5259 7012 10518 12271 14024 21036 24542 28048 36813 42072 49084 56096 73626 84144 98168 112192 147252 168288 196336 294504 336576 392672 589008 785344 1178016 2356032 46743979 93487958 140231937 186975916 280463874 327207853 373951832 560927748 654415706 747903664 981623559 1121855496 1308831412 1495807328 1963247118 2243710992 2617662824 2991614656 3926494236 4487421984 5235325648 7852988472 8974843968 10470651296 15705976944 20941302592 31411953888 62823907776 81942195187 163884390374 245826585561 327768780748 491653171122 573595366309 655537561496 983306342244 1147190732618 1311075122992 1720786098927 1966612684488 2294381465236 2622150245984 3441572197854 3933225368976 4588762930472 5244300491968 6883144395708 7866450737952 9177525860944 13766288791416 15732901475904 18355051721888 27532577582832 36710103443776 55065155165664 110130310331328