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12313130112 = 27346119469
BaseRepresentation
bin10110111011110101…
…10111010010000000
31011210010022211010000
423131322313102000
5200204130130422
65353453040000
7614062610343
oct133572672200
934703284100
1012313130112
115249493998
122477786000
131212cabb0a
1484b44c45a
154c0ec4cac
hex2ddeb7480

12313130112 has 160 divisors (see below), whose sum is σ = 37246304700. Its totient is φ = 4036884480.

The previous prime is 12313130003. The next prime is 12313130143. The reversal of 12313130112 is 21103131321.

It can be written as a sum of positive squares in 2 ways, for example, as 10704799296 + 1608330816 = 103464^2 + 40104^2 .

It is a super-2 number, since 2×123131301122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 622714 + ... + 642182.

Almost surely, 212313130112 is an apocalyptic number.

12313130112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623152350).

12313130112 is an abundant number, since it is smaller than the sum of its proper divisors (24933174588).

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

12313130112 is an equidigital number, since it uses as much as digits as its factorization.

12313130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19556 (or 19535 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12313130112 its reverse (21103131321), we get a palindrome (33416261433).

The spelling of 12313130112 in words is "twelve billion, three hundred thirteen million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 128 144 162 183 192 216 244 288 324 366 384 432 488 549 576 648 732 864 976 1098 1152 1296 1464 1647 1728 1952 2196 2592 2928 3294 3456 3904 4392 4941 5184 5856 6588 7808 8784 9882 10368 11712 13176 17568 19469 19764 23424 26352 35136 38938 39528 52704 58407 70272 77876 79056 105408 116814 155752 158112 175221 210816 233628 311504 316224 350442 467256 525663 623008 632448 700884 934512 1051326 1187609 1246016 1401768 1576989 1869024 2102652 2375218 2492032 2803536 3153978 3562827 3738048 4205304 4750436 5607072 6307956 7125654 7476096 8410608 9500872 10688481 11214144 12615912 14251308 16821216 19001744 21376962 22428288 25231824 28502616 32065443 33642432 38003488 42753924 50463648 57005232 64130886 67284864 76006976 85507848 96196329 100927296 114010464 128261772 152013952 171015696 192392658 201854592 228020928 256523544 342031392 384785316 456041856 513047088 684062784 769570632 1026094176 1368125568 1539141264 2052188352 3078282528 4104376704 6156565056 12313130112