Search a number
-
+
10131558912 = 29322198689
BaseRepresentation
bin10010110111110001…
…10101001000000000
3222011002022112000200
421123320311020000
5131222134341122
64353202245200
7506032554426
oct113370651000
928132275020
1010131558912
11432a001192
121b69056800
13c56030697
146c180b116
153e46e85ac
hex25be35200

10131558912 has 60 divisors (see below), whose sum is σ = 29240378310. Its totient is φ = 3377184768.

The previous prime is 10131558893. The next prime is 10131558953. The reversal of 10131558912 is 21985513101.

10131558912 is a `hidden beast` number, since 1 + 0 + 13 + 1 + 558 + 91 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8082729216 + 2048829696 = 89904^2 + 45264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1094737 + ... + 1103952.

Almost surely, 210131558912 is an apocalyptic number.

10131558912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131558912 is an abundant number, since it is smaller than the sum of its proper divisors (19108819398).

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

10131558912 is an equidigital number, since it uses as much as digits as its factorization.

10131558912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198713 (or 2198694 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 10131558912 in words is "ten billion, one hundred thirty-one million, five hundred fifty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 2198689 4397378 6596067 8794756 13192134 17589512 19788201 26384268 35179024 39576402 52768536 70358048 79152804 105537072 140716096 158305608 211074144 281432192 316611216 422148288 562864384 633222432 844296576 1125728768 1266444864 1688593152 2532889728 3377186304 5065779456 10131558912