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13112332129 = 135322078623
BaseRepresentation
bin11000011011000111…
…00100111101100001
31020211211011111011201
430031203210331201
5203323224112004
610005042441201
7642635661361
oct141543447541
936754144151
1013112332129
11561962a226
12265b363201
13130c742710
148c564a9a1
1551b2406a4
hex30d8e4f61

13112332129 has 16 divisors (see below), whose sum is σ = 14395594752. Its totient is φ = 11868562368.

The previous prime is 13112332111. The next prime is 13112332141. The reversal of 13112332129 is 92123321131.

13112332129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13112332129 - 27 = 13112332001 is a prime.

It is a super-3 number, since 3×131123321293 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13112332097 and 13112332106.

It is not an unprimeable number, because it can be changed into a prime (13112332159) by changing a digit.

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, 1516312 + ... + 1524934.

It is an arithmetic number, because the mean of its divisors is an integer number (899724672).

Almost surely, 213112332129 is an apocalyptic number.

It is an amenable number.

13112332129 is a deficient number, since it is larger than the sum of its proper divisors (1283262623).

13112332129 is a wasteful number, since it uses less digits than its factorization.

13112332129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896.

The product of its digits is 1944, while the sum is 28.

The spelling of 13112332129 in words is "thirteen billion, one hundred twelve million, three hundred thirty-two thousand, one hundred twenty-nine".

Divisors: 1 13 53 689 2207 8623 28691 112099 116971 457019 1520623 5941247 19030961 247402493 1008640933 13112332129