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12813012 = 2233294091
BaseRepresentation
bin110000111000…
…001011010100
3220002222011000
4300320023110
511240004022
61134343300
7213623502
oct60701324
926088130
1012813012
117261673
12435ab30
132868084
1419b7672
1511d16ac
hexc382d4

12813012 has 48 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 4122720.

The previous prime is 12812993. The next prime is 12813023. The reversal of 12813012 is 21031821.

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

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, 1087 + ... + 5177.

It is an arithmetic number, because the mean of its divisors is an integer number (716100).

Almost surely, 212813012 is an apocalyptic number.

12813012 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 12813012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

12813012 is an abundant number, since it is smaller than the sum of its proper divisors (21559788).

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

12813012 is a wasteful number, since it uses less digits than its factorization.

12813012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12813012 is about 3579.5267843669. The cubic root of 12813012 is about 234.0006574603. Note that the first 3 decimals are identical.

Adding to 12813012 its reverse (21031821), we get a palindrome (33844833).

The spelling of 12813012 in words is "twelve million, eight hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 4091 8182 12273 16364 24546 36819 49092 73638 110457 118639 147276 220914 237278 355917 441828 474556 711834 1067751 1423668 2135502 3203253 4271004 6406506 12813012