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13007820111 = 3111330321259
BaseRepresentation
bin11000001110101001…
…11001010101001111
31020120112111201122020
430013110321111033
5203120000220421
65550430421223
7640226434536
oct140724712517
936515451566
1013007820111
115575636860
122630361813
1312c3bac2a0
148b580331d
15511e98dc6
hex30753954f

13007820111 has 16 divisors (see below), whose sum is σ = 20375886720. Its totient is φ = 7277101920.

The previous prime is 13007820103. The next prime is 13007820139. The reversal of 13007820111 is 11102870031.

It is a happy number.

It is not a de Polignac number, because 13007820111 - 23 = 13007820103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007820101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15160201 + ... + 15161058.

It is an arithmetic number, because the mean of its divisors is an integer number (1273492920).

Almost surely, 213007820111 is an apocalyptic number.

13007820111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13007820111 is a deficient number, since it is larger than the sum of its proper divisors (7368066609).

13007820111 is a wasteful number, since it uses less digits than its factorization.

13007820111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30321286.

The product of its (nonzero) digits is 336, while the sum is 24.

The spelling of 13007820111 in words is "thirteen billion, seven million, eight hundred twenty thousand, one hundred eleven".

Divisors: 1 3 11 13 33 39 143 429 30321259 90963777 333533849 394176367 1000601547 1182529101 4335940037 13007820111