Search a number
-
+
12323312013012 = 223711131025916751
BaseRepresentation
bin1011001101010011111010…
…1000101000111011010100
31121122002121210200002111220
42303110332220220323110
53103401120333404022
642113130144330340
72411221105536360
oct263247650507324
947562553602456
1012323312013012
113a213183aa560
1214704103139b0
136b5111123320
14308646c2c2a0
15165856ec285c
hexb353ea28ed4

12323312013012 has 96 divisors (see below), whose sum is σ = 38607299211264. Its totient is φ = 2954640240000.

The previous prime is 12323312012941. The next prime is 12323312013031. The reversal of 12323312013012 is 21031021332321.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 512946364 + ... + 512970387.

It is an arithmetic number, because the mean of its divisors is an integer number (402159366784).

Almost surely, 212323312013012 is an apocalyptic number.

12323312013012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12323312013012 is an abundant number, since it is smaller than the sum of its proper divisors (26283987198252).

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

12323312013012 is a wasteful number, since it uses less digits than its factorization.

12323312013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025916789 (or 1025916787 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12323312013012 its reverse (21031021332321), we get a palindrome (33354333345333).

The spelling of 12323312013012 in words is "twelve trillion, three hundred twenty-three billion, three hundred twelve million, thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 1025916751 2051833502 3077750253 4103667004 6155500506 7181417257 11285084261 12311001012 13336917763 14362834514 21544251771 22570168522 26673835526 28725669028 33855252783 40010753289 43088503542 45140337044 53347671052 67710505566 78995589827 80021506578 86177007084 93358424341 135421011132 146706095393 157991179654 160043013156 186716848682 236986769481 280075273023 293412190786 315982359308 373433697364 440118286179 473973538962 560150546046 586824381572 880236572358 947947077924 1026942667751 1120301092092 1760473144716 2053885335502 3080828003253 4107770671004 6161656006506 12323312013012