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13031112 = 2331719412
BaseRepresentation
bin110001101101…
…011011001000
3220112001022210
4301231123020
511313443422
61143145120
7215522403
oct61553310
926461283
1013031112
1173a0516
1244451a0
132913423
141a32d3a
15122610c
hexc6d6c8

13031112 has 96 divisors (see below), whose sum is σ = 37216800. Its totient is φ = 3778560.

The previous prime is 13031101. The next prime is 13031159. The reversal of 13031112 is 21113031.

13031112 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317812 + ... + 317852.

It is an arithmetic number, because the mean of its divisors is an integer number (387675).

Almost surely, 213031112 is an apocalyptic number.

13031112 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 13031112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18608400).

13031112 is an abundant number, since it is smaller than the sum of its proper divisors (24185688).

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

13031112 is a wasteful number, since it uses less digits than its factorization.

13031112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

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

The square root of 13031112 is about 3609.8631553010. The cubic root of 13031112 is about 235.3208955504.

Adding to 13031112 its reverse (21113031), we get a palindrome (34144143).

It can be divided in two parts, 1303 and 1112, that added together give a triangular number (2415 = T69).

The spelling of 13031112 in words is "thirteen million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 41 51 57 68 76 82 102 114 123 136 152 164 204 228 246 323 328 408 456 492 646 697 779 969 984 1292 1394 1558 1681 1938 2091 2337 2584 2788 3116 3362 3876 4182 4674 5043 5576 6232 6724 7752 8364 9348 10086 13243 13448 16728 18696 20172 26486 28577 31939 39729 40344 52972 57154 63878 79458 85731 95817 105944 114308 127756 158916 171462 191634 228616 255512 317832 342924 383268 542963 685848 766536 1085926 1628889 2171852 3257778 4343704 6515556 13031112