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201313123023312 = 24331727411917623
BaseRepresentation
bin101101110001011111011101…
…001011111011100111010000
3222101210100100200021011112000
4231301133131023323213100
5202341303233443221222
61552053545541034000
760255251566666326
oct5561373513734720
9871710320234460
10201313123023312
11591654637a7153
121a6b39b96b5900
1388439910a0071
14379d86ddddd16
15184193a1179ac
hexb717dd2fb9d0

201313123023312 has 80 divisors (see below), whose sum is σ = 611834001367680. Its totient is φ = 63157058201088.

The previous prime is 201313123023217. The next prime is 201313123023379. The reversal of 201313123023312 is 213320321313102.

201313123023312 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 1 + 312 + 30 + 2 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13705951468 + ... + 13705966155.

It is an arithmetic number, because the mean of its divisors is an integer number (7647925017096).

Almost surely, 2201313123023312 is an apocalyptic number.

It is an amenable number.

201313123023312 is an abundant number, since it is smaller than the sum of its proper divisors (410520878344368).

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

201313123023312 is a wasteful number, since it uses less digits than its factorization.

201313123023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27411917657 (or 27411917645 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 201313123023312 its reverse (213320321313102), we get a palindrome (414633444336414).

The spelling of 201313123023312 in words is "two hundred one trillion, three hundred thirteen billion, one hundred twenty-three million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 27411917623 54823835246 82235752869 109647670492 164471505738 219295340984 246707258607 328943011476 438590681968 466002599591 493414517214 657886022952 740121775821 932005199182 986829034428 1315772045904 1398007798773 1480243551642 1864010398364 1973658068856 2796015597546 2960487103284 3728020796728 3947316137712 4194023396319 5592031195092 5920974206568 7456041593456 8388046792638 11184062390184 11841948413136 12582070188957 16776093585276 22368124780368 25164140377914 33552187170552 50328280755828 67104374341104 100656561511656 201313123023312