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113123300232 = 23343252143481
BaseRepresentation
bin110100101011010101…
…1001001001110001000
3101210222202110001211110
41221112223021032020
53323134031101412
6123545040530320
711113205121015
oct1512653111610
9353882401743
10113123300232
1143a80176878
1219b109209a0
13a88a5c2557
145691d2470c
152e213e4d3c
hex1a56ac9388

113123300232 has 64 divisors (see below), whose sum is σ = 289506634560. Its totient is φ = 36815385600.

The previous prime is 113123300221. The next prime is 113123300281. The reversal of 113123300232 is 232003321311.

It is a super-2 number, since 2×1131233002322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113123300199 and 113123300208.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2579932 + ... + 2623412.

It is an arithmetic number, because the mean of its divisors is an integer number (4523541165).

Almost surely, 2113123300232 is an apocalyptic number.

113123300232 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 113123300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144753317280).

113123300232 is an abundant number, since it is smaller than the sum of its proper divisors (176383334328).

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

113123300232 is a wasteful number, since it uses less digits than its factorization.

113123300232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46054 (or 46050 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 113123300232 its reverse (232003321311), we get a palindrome (345126621543).

The spelling of 113123300232 in words is "one hundred thirteen billion, one hundred twenty-three million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 2521 5042 7563 10084 15126 20168 30252 43481 60504 86962 108403 130443 173924 216806 260886 325209 347848 433612 521772 650418 867224 1043544 1300836 1869683 2601672 3739366 5609049 7478732 11218098 14957464 22436196 44872392 109615601 219231202 328846803 438462404 657693606 876924808 1315387212 2630774424 4713470843 9426941686 14140412529 18853883372 28280825058 37707766744 56561650116 113123300232