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13321130112 = 273233734313
BaseRepresentation
bin11000110100000000…
…00101000010000000
31021101101001112011100
430122000011002000
5204240202130422
610041502014400
7651052511013
oct143200050200
937341045140
1013321130112
115716481244
1226b9277400
131343a8a414
1490527d37a
1552e7367ac
hex31a005080

13321130112 has 96 divisors (see below), whose sum is σ = 38447807580. Its totient is φ = 4427071488.

The previous prime is 13321130099. The next prime is 13321130149. The reversal of 13321130112 is 21103112331.

It can be written as a sum of positive squares in 2 ways, for example, as 12675157056 + 645973056 = 112584^2 + 25416^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 371068 + ... + 405380.

Almost surely, 213321130112 is an apocalyptic number.

13321130112 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 13321130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223903790).

13321130112 is an abundant number, since it is smaller than the sum of its proper divisors (25126677468).

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

13321130112 is a wasteful number, since it uses less digits than its factorization.

13321130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34670 (or 34655 counting only the distinct ones).

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

Adding to 13321130112 its reverse (21103112331), we get a palindrome (34424242443).

The spelling of 13321130112 in words is "thirteen billion, three hundred twenty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 337 384 576 674 1011 1152 1348 2022 2696 3033 4044 5392 6066 8088 10784 12132 16176 21568 24264 32352 34313 43136 48528 64704 68626 97056 102939 129408 137252 194112 205878 274504 308817 388224 411756 549008 617634 823512 1098016 1235268 1647024 2196032 2470536 3294048 4392064 4941072 6588096 9882144 11563481 13176192 19764288 23126962 34690443 39528576 46253924 69380886 92507848 104071329 138761772 185015696 208142658 277523544 370031392 416285316 555047088 740062784 832570632 1110094176 1480125568 1665141264 2220188352 3330282528 4440376704 6660565056 13321130112