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131001122131232 = 2535571150909493
BaseRepresentation
bin11101110010010100010011…
…010110011000110100100000
3122011211120210102220212220212
4131302110103112120310200
5114132310244231144412
61142341030143353252
736410342633340233
oct3562242326306440
9564746712825825
10131001122131232
113881729a283a01
1212838a8a8b2828
13581347817cbb2
14244c6b966541a
15102298e5b8222
hex772513598d20

131001122131232 has 24 divisors (see below), whose sum is σ = 257980966718076. Its totient is φ = 65482146456832.

The previous prime is 131001122131189. The next prime is 131001122131247. The reversal of 131001122131232 is 232131221100131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 130933003219216 + 68118912016 = 11442596^2 + 260996^2 .

It is a super-2 number, since 2×1310011221312322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001122131198 and 131001122131207.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 575340923 + ... + 575568570.

Almost surely, 2131001122131232 is an apocalyptic number.

It is an amenable number.

131001122131232 is a deficient number, since it is larger than the sum of its proper divisors (126979844586844).

131001122131232 is a wasteful number, since it uses less digits than its factorization.

131001122131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150913060 (or 1150913052 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131001122131232 its reverse (232131221100131), we get a palindrome (363132343231363).

The spelling of 131001122131232 in words is "one hundred thirty-one trillion, one billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 3557 7114 14228 28456 56912 113824 1150909493 2301818986 4603637972 9207275944 18414551888 36829103776 4093785066601 8187570133202 16375140266404 32750280532808 65500561065616 131001122131232