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113303133132 = 22374161539323
BaseRepresentation
bin110100110000101100…
…1001001101111001100
3101211110021211112012020
41221201121021233030
53324021100230012
6124014543210140
711120520512130
oct1514131115714
9354407745166
10113303133132
1144062734a02
1219b60ba6950
13a8b8938357
1456abb773c0
152e320b8a8c
hex1a61649bcc

113303133132 has 96 divisors (see below), whose sum is σ = 314585531904. Its totient is φ = 31064947200.

The previous prime is 113303133131. The next prime is 113303133137. The reversal of 113303133132 is 231331303311.

It is a super-2 number, since 2×1133031331322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113303133131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59578 + ... + 479745.

It is an arithmetic number, because the mean of its divisors is an integer number (3276932624).

Almost surely, 2113303133132 is an apocalyptic number.

113303133132 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 113303133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157292765952).

113303133132 is an abundant number, since it is smaller than the sum of its proper divisors (201282398772).

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

113303133132 is a wasteful number, since it uses less digits than its factorization.

113303133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539439 (or 539437 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 113303133132 its reverse (231331303311), we get a palindrome (344634436443).

The spelling of 113303133132 in words is "one hundred thirteen billion, three hundred three million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 61 82 84 122 123 164 183 244 246 287 366 427 492 574 732 854 861 1148 1281 1708 1722 2501 2562 3444 5002 5124 7503 10004 15006 17507 30012 35014 52521 70028 105042 210084 539323 1078646 1617969 2157292 3235938 3775261 6471876 7550522 11325783 15101044 22112243 22651566 32898703 44224486 45303132 65797406 66336729 88448972 98696109 131594812 132673458 154785701 197392218 230290921 265346916 309571402 394784436 460581842 464357103 619142804 690872763 921163684 928714206 1348846823 1381745526 1857428412 2697693646 2763491052 4046540469 5395387292 8093080938 9441927761 16186161876 18883855522 28325783283 37767711044 56651566566 113303133132