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13471129320 = 23351110205401
BaseRepresentation
bin11001000101111000…
…10001111011101000
31021202211022021101120
430202330101323220
5210042102114240
610104421015240
7654553465335
oct144274217350
937684267346
1013471129320
115793112930
12273b554520
131368b88b4c
1491b16798c
1553c9b5ad0
hex322f11ee8

13471129320 has 64 divisors (see below), whose sum is σ = 44087336640. Its totient is φ = 3265728000.

The previous prime is 13471129319. The next prime is 13471129363. The reversal of 13471129320 is 2392117431.

13471129320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×134711293203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5101381 + ... + 5104020.

It is an arithmetic number, because the mean of its divisors is an integer number (688864635).

Almost surely, 213471129320 is an apocalyptic number.

13471129320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13471129320 is an abundant number, since it is smaller than the sum of its proper divisors (30616207320).

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

13471129320 is a wasteful number, since it uses less digits than its factorization.

13471129320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205426 (or 10205422 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 13471129320 in words is "thirteen billion, four hundred seventy-one million, one hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 10205401 20410802 30616203 40821604 51027005 61232406 81643208 102054010 112259411 122464812 153081015 204108020 224518822 244929624 306162030 336778233 408216040 449037644 561297055 612324060 673556466 898075288 1122594110 1224648120 1347112932 1683891165 2245188220 2694225864 3367782330 4490376440 6735564660 13471129320