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113332103232 = 26310110935347
BaseRepresentation
bin110100110001100011…
…1101010100001000000
3101211112022100100200220
41221203013222201000
53324101004300412
6124021500143040
711121321661065
oct1514307524100
9354468310626
10113332103232
1144078021637
1219b6a837a80
13a8c193c61a
1456b1958c6c
152e348dc68c
hex1a631ea840

113332103232 has 112 divisors (see below), whose sum is σ = 303160492992. Its totient is φ = 37362124800.

The previous prime is 113332103221. The next prime is 113332103237. The reversal of 113332103232 is 232301233311.

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

It is not an unprimeable number, because it can be changed into a prime (113332103237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21192783 + ... + 21198129.

It is an arithmetic number, because the mean of its divisors is an integer number (2706790116).

Almost surely, 2113332103232 is an apocalyptic number.

113332103232 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 113332103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151580246496).

113332103232 is an abundant number, since it is smaller than the sum of its proper divisors (189828389760).

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

113332103232 is a wasteful number, since it uses less digits than its factorization.

113332103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6546 counting only the distinct ones).

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

Adding to 113332103232 its reverse (232301233311), we get a palindrome (345633336543).

The spelling of 113332103232 in words is "one hundred thirteen billion, three hundred thirty-two million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1093 1212 1616 2186 2424 3232 3279 4372 4848 5347 6464 6558 8744 9696 10694 13116 16041 17488 19392 21388 26232 32082 34976 42776 52464 64164 69952 85552 104928 110393 128328 171104 209856 220786 256656 331179 342208 441572 513312 540047 662358 883144 1026624 1080094 1324716 1620141 1766288 2160188 2649432 3240282 3532576 4320376 5298864 5844271 6480564 7065152 8640752 10597728 11688542 12961128 17281504 17532813 21195456 23377084 25922256 34563008 35065626 46754168 51844512 70131252 93508336 103689024 140262504 187016672 280525008 374033344 561050016 590271371 1122100032 1180542742 1770814113 2361085484 3541628226 4722170968 7083256452 9444341936 14166512904 18888683872 28333025808 37777367744 56666051616 113332103232