Search a number
-
+
113211120132 = 223211225989697
BaseRepresentation
bin110100101101111101…
…0001001101000000100
3101211012212200210002100
41221123322021220010
53323324021321012
6124001455112100
711115322433505
oct1513372115004
9354185623070
10113211120132
11440157a9200
1219b36212630
13a8a28600a6
14569d864bac
152e28e908dc
hex1a5be89a04

113211120132 has 54 divisors (see below), whose sum is σ = 314553314894. Its totient is φ = 34306398720.

The previous prime is 113211120131. The next prime is 113211120151. The reversal of 113211120132 is 231021112311.

It can be written as a sum of positive squares in only one way, i.e., 77978328516 + 35232791616 = 279246^2 + 187704^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113211120131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12990493 + ... + 12999204.

Almost surely, 2113211120132 is an apocalyptic number.

113211120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113211120132 is an abundant number, since it is smaller than the sum of its proper divisors (201342194762).

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

113211120132 is a wasteful number, since it uses less digits than its factorization.

113211120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25989729 (or 25989713 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113211120132 its reverse (231021112311), we get a palindrome (344232232443).

The spelling of 113211120132 in words is "one hundred thirteen billion, two hundred eleven million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 25989697 51979394 77969091 103958788 155938182 233907273 285886667 311876364 467814546 571773334 857660001 935629092 1143546668 1715320002 2572980003 3144753337 3430640004 5145960006 6289506674 9434260011 10291920012 12579013348 18868520022 28302780033 37737040044 56605560066 113211120132