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113013433032 = 233105120812153
BaseRepresentation
bin110100101000000100…
…0000010001011001000
3101210201002201020100220
41221100020002023020
53322422414324112
6123530114030040
711110402221333
oct1512010021310
9353632636326
10113013433032
1143a24155a35
1219a9bb78320
13a870905786
1456814c561a
152e1694198c
hex1a502022c8

113013433032 has 64 divisors (see below), whose sum is σ = 283069719360. Its totient is φ = 37599744000.

The previous prime is 113013433031. The next prime is 113013433061. The reversal of 113013433032 is 230334310311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113013432993 and 113013433011.

It is not an unprimeable number, because it can be changed into a prime (113013433031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52490068 + ... + 52492220.

It is an arithmetic number, because the mean of its divisors is an integer number (4422964365).

Almost surely, 2113013433032 is an apocalyptic number.

113013433032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113013433032 is an abundant number, since it is smaller than the sum of its proper divisors (170056286328).

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

113013433032 is a wasteful number, since it uses less digits than its factorization.

113013433032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 113013433032 its reverse (230334310311), we get a palindrome (343347743343).

The spelling of 113013433032 in words is "one hundred thirteen billion, thirteen million, four hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 1051 2081 2102 2153 3153 4162 4204 4306 6243 6306 6459 8324 8408 8612 12486 12612 12918 16648 17224 24972 25224 25836 49944 51672 2187131 2262803 4374262 4480393 4525606 6561393 6788409 8748524 8960786 9051212 13122786 13441179 13576818 17497048 17921572 18102424 26245572 26882358 27153636 35843144 52491144 53764716 54307272 107529432 4708893043 9417786086 14126679129 18835572172 28253358258 37671144344 56506716516 113013433032