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13012113132 = 2234239168037
BaseRepresentation
bin11000001111001010…
…10001011011101100
31020120211120211120000
430013211101123230
5203122100110012
65551102424300
7640311064614
oct140745213354
936524524500
1013012113132
115577aa9207
122631892090
1312c4a53335
148b61dda44
15512545ddc
hex3079516ec

13012113132 has 60 divisors (see below), whose sum is σ = 34158764640. Its totient is φ = 4319197344.

The previous prime is 13012113131. The next prime is 13012113143. The reversal of 13012113132 is 23131121031.

13012113132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13012113131) 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 19 ways as a sum of consecutive naturals, for example, 6583 + ... + 161454.

It is an arithmetic number, because the mean of its divisors is an integer number (569312744).

Almost surely, 213012113132 is an apocalyptic number.

13012113132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079382320).

13012113132 is an abundant number, since it is smaller than the sum of its proper divisors (21146651508).

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

13012113132 is a wasteful number, since it uses less digits than its factorization.

13012113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168292 (or 168281 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13012113132 its reverse (23131121031), we get a palindrome (36143234163).

The spelling of 13012113132 in words is "thirteen billion, twelve million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 239 324 478 717 956 1434 2151 2868 4302 6453 8604 12906 19359 25812 38718 77436 168037 336074 504111 672148 1008222 1512333 2016444 3024666 4536999 6049332 9073998 13610997 18147996 27221994 40160843 54443988 80321686 120482529 160643372 240965058 361447587 481930116 722895174 1084342761 1445790348 2168685522 3253028283 4337371044 6506056566 13012113132