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113313103032 = 23319223515563
BaseRepresentation
bin110100110000111111…
…1001011110010111000
3101211110222121001022210
41221201333023302320
53324031123244112
6124015541015120
711121001324653
oct1514177136270
9354428531283
10113313103032
1144068324498
1219b643b44a0
13a8baa192bc
1456ad21089a
152e32dd7b3c
hex1a61fcbcb8

113313103032 has 96 divisors (see below), whose sum is σ = 299158030080. Its totient is φ = 35761435200.

The previous prime is 113313103021. The next prime is 113313103039. The reversal of 113313103032 is 230301313311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113313103039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20366283 + ... + 20371845.

It is an arithmetic number, because the mean of its divisors is an integer number (3116229480).

Almost surely, 2113313103032 is an apocalyptic number.

113313103032 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 113313103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149579015040).

113313103032 is an abundant number, since it is smaller than the sum of its proper divisors (185844927048).

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

113313103032 is a wasteful number, since it uses less digits than its factorization.

113313103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7938 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 113313103032 its reverse (230301313311), we get a palindrome (343614416343).

The spelling of 113313103032 in words is "one hundred thirteen billion, three hundred thirteen million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 1083 1444 2166 2351 2888 4332 4702 5563 7053 8664 9404 11126 14106 16689 18808 22252 28212 33378 44504 44669 56424 66756 89338 105697 133512 134007 178676 211394 268014 317091 357352 422788 536028 634182 845576 848711 1072056 1268364 1697422 2008243 2536728 2546133 3394844 4016486 5092266 6024729 6789688 8032972 10184532 12049458 13078613 16065944 20369064 24098916 26157226 39235839 48197832 52314452 78471678 104628904 156943356 248493647 313886712 496987294 745480941 993974588 1490961882 1987949176 2981923764 4721379293 5963847528 9442758586 14164137879 18885517172 28328275758 37771034344 56656551516 113313103032