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13121520113 = 1347199311347
BaseRepresentation
bin11000011100001101…
…01000000111110001
31020212110110021201102
430032012220013301
5203333102120423
610010011414145
7643110036452
oct141606500761
936773407642
1013121520113
1156238352a9
122662454355
13131160b7b0
148c695d129
1551be57c28
hex30e1a81f1

13121520113 has 32 divisors (see below), whose sum is σ = 14592614400. Its totient is φ = 11723088960.

The previous prime is 13121520067. The next prime is 13121520151. The reversal of 13121520113 is 31102512131.

It is a cyclic number.

It is not a de Polignac number, because 13121520113 - 28 = 13121519857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13121526113) 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, 37814006 + ... + 37814352.

It is an arithmetic number, because the mean of its divisors is an integer number (456019200).

Almost surely, 213121520113 is an apocalyptic number.

13121520113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13121520113 is a deficient number, since it is larger than the sum of its proper divisors (1471094287).

13121520113 is a wasteful number, since it uses less digits than its factorization.

13121520113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917.

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 13121520113 in words is "thirteen billion, one hundred twenty-one million, five hundred twenty thousand, one hundred thirteen".

Divisors: 1 13 47 199 311 347 611 2587 4043 4511 9353 14617 16309 61889 69053 107917 121589 190021 212017 804557 897689 1402921 2908783 3245491 5072099 21475483 37814179 42191383 65937287 279181279 1009347701 13121520113