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113303200332 = 223729173326839
BaseRepresentation
bin110100110000101100…
…1011010001001001100
3101211110021221221101010
41221201121122021030
53324021104402312
6124014544445220
711120521212060
oct1514131321114
9354407857333
10113303200332
1144062780443
1219b61019810
13a8b895cb0a
1456abb93aa0
152e320cd93c
hex1a6165a24c

113303200332 has 96 divisors (see below), whose sum is σ = 312752563200. Its totient is φ = 31236855552.

The previous prime is 113303200291. The next prime is 113303200411. The reversal of 113303200332 is 233002303311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113303200299 and 113303200308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4208169 + ... + 4235007.

It is an arithmetic number, because the mean of its divisors is an integer number (3257839200).

Almost surely, 2113303200332 is an apocalyptic number.

113303200332 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 113303200332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156376281600).

113303200332 is an abundant number, since it is smaller than the sum of its proper divisors (199449362868).

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

113303200332 is a wasteful number, since it uses less digits than its factorization.

113303200332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28615 (or 28613 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 113303200332 its reverse (233002303311), we get a palindrome (346305503643).

The spelling of 113303200332 in words is "one hundred thirteen billion, three hundred three million, two hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 1733 2436 3466 5199 6932 10398 12131 20796 24262 26839 36393 48524 50257 53678 72786 80517 100514 107356 145572 150771 161034 187873 201028 301542 322068 351799 375746 563619 603084 703598 751492 778331 1055397 1127238 1407196 1556662 2110794 2254476 2334993 3113324 4221588 4669986 5448317 9339972 10896634 16344951 21793268 32689902 46511987 65379804 93023974 139535961 186047948 279071922 325583909 558143844 651167818 976751727 1302335636 1348847623 1953503454 2697695246 3907006908 4046542869 5395390492 8093085738 9441933361 16186171476 18883866722 28325800083 37767733444 56651600166 113303200332