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131001003001332 = 22323638916750037
BaseRepresentation
bin11101110010010100001100…
…001111111100010111110100
3122011211120111010202110102100
4131302110030033330113310
5114132310023232020312
61142341010250142100
736410336655631602
oct3562241417742764
9564746433673370
10131001003001332
1138817239006942
1212838a56a21930
13581345959c029
14244c6a78d4872
151022983dd55dc
hex77250c3fc5f4

131001003001332 has 18 divisors (see below), whose sum is σ = 331141424253458. Its totient is φ = 43667001000432.

The previous prime is 131001003001321. The next prime is 131001003001339. The reversal of 131001003001332 is 233100300100131.

It is a happy number.

131001003001332 is a `hidden beast` number, since 1 + 31 + 0 + 0 + 1 + 0 + 0 + 300 + 1 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118988914505616 + 12012088495716 = 10908204^2 + 3465846^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1310010030013322 (a number of 29 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 not an unprimeable number, because it can be changed into a prime (131001003001339) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1819458374983 + ... + 1819458375054.

Almost surely, 2131001003001332 is an apocalyptic number.

131001003001332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131001003001332 is an abundant number, since it is smaller than the sum of its proper divisors (200140421252126).

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

131001003001332 is a wasteful number, since it uses less digits than its factorization.

131001003001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638916750047 (or 3638916750042 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131001003001332 its reverse (233100300100131), we get a palindrome (364101303101463).

The spelling of 131001003001332 in words is "one hundred thirty-one trillion, one billion, three million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3638916750037 7277833500074 10916750250111 14555667000148 21833500500222 32750250750333 43667001000444 65500501500666 131001003001332