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113311324 = 227217311097
BaseRepresentation
bin1101100000011…
…11111001011100
321220012210220201
412300033321130
5213001430244
615124353244
72544062500
oct660177134
9256183821
10113311324
1158a63525
1231b45824
131a624629
1411098300
159e33ad4
hex6c0fe5c

113311324 has 72 divisors (see below), whose sum is σ = 252346752. Its totient is φ = 44190720.

The previous prime is 113311309. The next prime is 113311339. The reversal of 113311324 is 423113311.

It is an interprime number because it is at equal distance from previous prime (113311309) and next prime (113311339).

It is a super-2 number, since 2×1133113242 = 25678912293265952, which contains 22 as substring.

It is a congruent number.

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, 102744 + ... + 103840.

It is an arithmetic number, because the mean of its divisors is an integer number (3504816).

Almost surely, 2113311324 is an apocalyptic number.

113311324 is a gapful number since it is divisible by the number (14) 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 113311324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126173376).

113311324 is an abundant number, since it is smaller than the sum of its proper divisors (139035428).

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

113311324 is a wasteful number, since it uses less digits than its factorization.

113311324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1154 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 113311324 is about 10644.7791898188. The cubic root of 113311324 is about 483.9023947705.

Adding to 113311324 its reverse (423113311), we get a palindrome (536424635).

The spelling of 113311324 in words is "one hundred thirteen million, three hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 31 34 49 62 68 98 119 124 196 217 238 434 476 527 833 868 1054 1097 1519 1666 2108 2194 3038 3332 3689 4388 6076 7378 7679 14756 15358 18649 25823 30716 34007 37298 51646 53753 68014 74596 103292 107506 130543 136028 215012 238049 261086 476098 522172 578119 913801 952196 1156238 1666343 1827602 2312476 3332686 3655204 4046833 6665372 8093666 16187332 28327831 56655662 113311324