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13112103303312 = 24313891723137029
BaseRepresentation
bin1011111011001110011001…
…0000100111100010010000
31201102111122000122101101020
42332303212100213202100
53204312041421201222
643515341143235440
72522214100064436
oct276634620474220
951374560571336
1013112103303312
1141a58a2534802
121579268a48b80
13741609b5b8a0
143348b46b4d56
1517b12124a65c
hexbece6427890

13112103303312 has 160 divisors (see below), whose sum is σ = 36910093852800. Its totient is φ = 3986817601536.

The previous prime is 13112103303311. The next prime is 13112103303317. The reversal of 13112103303312 is 21330330121131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13112103303311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95620014 + ... + 95757042.

It is an arithmetic number, because the mean of its divisors is an integer number (230688086580).

Almost surely, 213112103303312 is an apocalyptic number.

13112103303312 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 13112103303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18455046926400).

13112103303312 is an abundant number, since it is smaller than the sum of its proper divisors (23797990549488).

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

13112103303312 is a wasteful number, since it uses less digits than its factorization.

13112103303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138865 (or 138859 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13112103303312 its reverse (21330330121131), we get a palindrome (34442433424443).

The spelling of 13112103303312 in words is "thirteen trillion, one hundred twelve billion, one hundred three million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1068 1157 1424 1723 2136 2314 3446 3471 4272 4628 5169 6892 6942 9256 10338 13784 13884 18512 20676 22399 27568 27768 41352 44798 55536 67197 82704 89596 134394 137029 153347 179192 268788 274058 306694 358384 411087 460041 537576 548116 613388 822174 920082 1075152 1096232 1226776 1644348 1781377 1840164 1993511 2192464 2453552 3288696 3562754 3680328 3987022 5344131 5980533 6577392 7125508 7360656 7974044 10688262 11961066 12195581 14251016 15948088 21376524 23922132 24391162 28502032 31896176 36586743 42753048 47844264 48782324 73173486 85506096 95688528 97564648 146346972 158542553 195129296 236100967 292693944 317085106 472201934 475627659 585387888 634170212 708302901 944403868 951255318 1268340424 1416605802 1888807736 1902510636 2536680848 2833211604 3069312571 3777615472 3805021272 5666423208 6138625142 7610042544 9207937713 11332846416 12277250284 18415875426 21012986063 24554500568 36831750852 42025972126 49109001136 63038958189 73663501704 84051944252 126077916378 147327003408 168103888504 252155832756 273168818819 336207777008 504311665512 546337637638 819506456457 1008623331024 1092675275276 1639012912914 2185350550552 3278025825828 4370701101104 6556051651656 13112103303312