Search a number
-
+
10131013010232 = 2332140708514031
BaseRepresentation
bin1001001101101100111101…
…1011101000001100111000
31022212111220201022202020200
42103123033123220030320
52311441303312311412
633314042332322200
72063640642510252
oct223331733501470
938774821282220
1010131013010232
1132565a1802794
12117755b913360
13586472b73c9a
142704b4d70cd2
151287e6ba79dc
hex936cf6e8338

10131013010232 has 24 divisors (see below), whose sum is σ = 27438160236240. Its totient is φ = 3377004336720.

The previous prime is 10131013010219. The next prime is 10131013010267. The reversal of 10131013010232 is 23201031013101.

10131013010232 is a `hidden beast` number, since 1 + 0 + 131 + 0 + 1 + 301 + 0 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×101310130102322 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70354256944 + ... + 70354257087.

It is an arithmetic number, because the mean of its divisors is an integer number (1143256676510).

Almost surely, 210131013010232 is an apocalyptic number.

10131013010232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131013010232 is an abundant number, since it is smaller than the sum of its proper divisors (17307147226008).

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

10131013010232 is a wasteful number, since it uses less digits than its factorization.

10131013010232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140708514043 (or 140708514036 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10131013010232 its reverse (23201031013101), we get a palindrome (33332044023333).

The spelling of 10131013010232 in words is "ten trillion, one hundred thirty-one billion, thirteen million, ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 140708514031 281417028062 422125542093 562834056124 844251084186 1125668112248 1266376626279 1688502168372 2532753252558 3377004336744 5065506505116 10131013010232