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13013112 = 2337292671
BaseRepresentation
bin110001101001…
…000001111000
3220111010122010
4301221001320
511312404422
61142525520
7215416050
oct61510170
926433563
1013013112
117388a42
1244368a0
132908188
141a2a560
151220b0c
hexc69078

13013112 has 64 divisors (see below), whose sum is σ = 38476800. Its totient is φ = 3588480.

The previous prime is 13013071. The next prime is 13013129. The reversal of 13013112 is 21131031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3537 + ... + 6207.

It is an arithmetic number, because the mean of its divisors is an integer number (601200).

Almost surely, 213013112 is an apocalyptic number.

13013112 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 13013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19238400).

13013112 is an abundant number, since it is smaller than the sum of its proper divisors (25463688).

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

13013112 is a wasteful number, since it uses less digits than its factorization.

13013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 13013112 is about 3607.3691244451. The cubic root of 13013112 is about 235.2124952869.

Adding to 13013112 its reverse (21131031), we get a palindrome (34144143).

The spelling of 13013112 in words is "thirteen million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 2671 4872 5342 8013 10684 16026 18697 21368 32052 37394 56091 64104 74788 77459 112182 149576 154918 224364 232377 309836 448728 464754 542213 619672 929508 1084426 1626639 1859016 2168852 3253278 4337704 6506556 13013112