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23115515241 = 3721353241947
BaseRepresentation
bin10101100001110010…
…101100010101101001
32012122221220211201010
4111201302230111221
5334320032441431
614341421414133
71445552431500
oct254162542551
965587824633
1023115515241
119892118805
12459140a349
132244ca5990
141193d9b837
1590452b846
hex561cac569

23115515241 has 96 divisors (see below), whose sum is σ = 39543977088. Its totient is φ = 11900528640.

The previous prime is 23115515239. The next prime is 23115515263. The reversal of 23115515241 is 14251551132.

It is not a de Polignac number, because 23115515241 - 21 = 23115515239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23115515199 and 23115515208.

It is not an unprimeable number, because it can be changed into a prime (23115515201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24408730 + ... + 24409676.

It is an arithmetic number, because the mean of its divisors is an integer number (411916428).

Almost surely, 223115515241 is an apocalyptic number.

23115515241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23115515241 is a deficient number, since it is larger than the sum of its proper divisors (16428461847).

23115515241 is a wasteful number, since it uses less digits than its factorization.

23115515241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1264 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The spelling of 23115515241 in words is "twenty-three billion, one hundred fifteen million, five hundred fifteen thousand, two hundred forty-one".

Divisors: 1 3 7 13 21 39 49 53 91 147 159 241 273 371 637 689 723 947 1113 1687 1911 2067 2597 2841 3133 4823 5061 6629 7791 9399 11809 12311 12773 14469 19887 21931 33761 35427 36933 38319 46403 50191 65793 86177 89411 101283 139209 150573 153517 166049 228227 258531 268233 351337 460551 498147 603239 625877 652483 684681 1054011 1162343 1597589 1809717 1877631 1957449 2459359 2966951 3487029 4567381 4792767 7378077 8136401 8900853 11183123 12096031 13702143 20768657 24409203 31971667 33549369 36288093 62305971 84672217 95915001 145380599 157248403 254016651 436141797 471745209 592705519 1100738821 1778116557 3302216463 7705171747 23115515241