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12813501305 = 5112148714243
BaseRepresentation
bin10111110111011111…
…01000001101111001
31020001222212022100102
423323233220031321
5202220224020210
65515245445145
7632346651443
oct137357501571
936058768312
1012813501305
115485984200
1225972707b5
131292863b47
14897a9d493
154eedb2ea5
hex2fbbe8379

12813501305 has 24 divisors (see below), whose sum is σ = 16913667456. Its totient is φ = 9311989280.

The previous prime is 12813501293. The next prime is 12813501347. The reversal of 12813501305 is 50310531821.

It is a happy number.

It is not a de Polignac number, because 12813501305 - 28 = 12813501049 is a prime.

It is a super-3 number, since 3×128135013053 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 892514 + ... + 906756.

It is an arithmetic number, because the mean of its divisors is an integer number (704736144).

Almost surely, 212813501305 is an apocalyptic number.

It is an amenable number.

12813501305 is a deficient number, since it is larger than the sum of its proper divisors (4100166151).

12813501305 is a wasteful number, since it uses less digits than its factorization.

12813501305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15757 (or 15746 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 12813501305 in words is "twelve billion, eight hundred thirteen million, five hundred one thousand, three hundred five".

Divisors: 1 5 11 55 121 605 1487 7435 14243 16357 71215 81785 156673 179927 783365 899635 1723403 8617015 21179341 105896705 232972751 1164863755 2562700261 12813501305