Search a number
-
+
113131101132 = 223274191071439
BaseRepresentation
bin110100101011100100…
…0111001101111001100
3101211000022010101122200
41221113020321233030
53323143030214012
6123545520041500
711113331331120
oct1512710715714
9354008111580
10113131101132
1143a846147a5
1219b13463290
13a88c0c417a
145692d95580
152e21e363dc
hex1a57239bcc

113131101132 has 72 divisors (see below), whose sum is σ = 327603494400. Its totient is φ = 32245998048.

The previous prime is 113131101113. The next prime is 113131101151. The reversal of 113131101132 is 231101131311.

It is an interprime number because it is at equal distance from previous prime (113131101113) and next prime (113131101151).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430132 + ... + 641307.

Almost surely, 2113131101132 is an apocalyptic number.

113131101132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113131101132 is an abundant number, since it is smaller than the sum of its proper divisors (214472393268).

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

113131101132 is a wasteful number, since it uses less digits than its factorization.

113131101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071875 (or 1071870 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113131101132 its reverse (231101131311), we get a palindrome (344232232443).

The spelling of 113131101132 in words is "one hundred thirteen billion, one hundred thirty-one million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 419 838 1257 1676 2514 2933 3771 5028 5866 7542 8799 11732 15084 17598 26397 35196 52794 105588 1071439 2142878 3214317 4285756 6428634 7500073 9642951 12857268 15000146 19285902 22500219 30000292 38571804 45000438 67500657 90000876 135001314 270002628 448932941 897865882 1346798823 1795731764 2693597646 3142530587 4040396469 5387195292 6285061174 8080792938 9427591761 12570122348 16161585876 18855183522 28282775283 37710367044 56565550566 113131101132