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113515200232 = 2378945475009
BaseRepresentation
bin110100110111000001…
…0000111111011101000
3101212000001212122120021
41221232002013323220
53324434342401412
6124052000410224
711126004165430
oct1515602077350
9355001778507
10113515200232
114416140a075
121a000016974
13a920859045
1456cbdbb2c0
152e45a08607
hex1a6e087ee8

113515200232 has 64 divisors (see below), whose sum is σ = 246083184000. Its totient is φ = 48082569216.

The previous prime is 113515200229. The next prime is 113515200277. The reversal of 113515200232 is 232002515311.

113515200232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1135152002322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113515200197 and 113515200206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22659744 + ... + 22664752.

It is an arithmetic number, because the mean of its divisors is an integer number (3845049750).

Almost surely, 2113515200232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113515200232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123041592000).

113515200232 is an abundant number, since it is smaller than the sum of its proper divisors (132567983768).

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

113515200232 is a wasteful number, since it uses less digits than its factorization.

113515200232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 113515200232 its reverse (232002515311), we get a palindrome (345517715543).

The spelling of 113515200232 in words is "one hundred thirteen billion, five hundred fifteen million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 623 712 1246 2492 4547 4984 5009 9094 10018 18188 20036 31829 35063 36376 40072 63658 70126 127316 140252 254632 280504 404683 445801 809366 891602 1618732 1783204 2832781 3120607 3237464 3566408 5665562 6241214 11331124 12482428 22662248 22775923 24964856 45551846 91103692 159431461 182207384 318862922 637725844 1275451688 2027057147 4054114294 8108228588 14189400029 16216457176 28378800058 56757600116 113515200232