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131001032322 = 2335634308961
BaseRepresentation
bin111101000000001000…
…1010001111010000010
3110112010200112221211000
41322000101101322002
54121242231013242
6140103034432430
712315220254636
oct1720021217202
9415120487730
10131001032322
1150614738576
122147bb92716
13c4793b3854
1464aa404dc6
15361ab9aa4c
hex1e80451e82

131001032322 has 32 divisors (see below), whose sum is σ = 291630548160. Its totient is φ = 43589439360.

The previous prime is 131001032209. The next prime is 131001032341. The reversal of 131001032322 is 223230100131.

131001032322 is a `hidden beast` number, since 1 + 310 + 0 + 1 + 0 + 32 + 322 = 666.

It is a super-2 number, since 2×1310010323222 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131001032295 and 131001032304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2124079 + ... + 2184882.

It is an arithmetic number, because the mean of its divisors is an integer number (9113454630).

Almost surely, 2131001032322 is an apocalyptic number.

131001032322 is an abundant number, since it is smaller than the sum of its proper divisors (160629515838).

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

131001032322 is a wasteful number, since it uses less digits than its factorization.

131001032322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309535 (or 4309529 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131001032322 its reverse (223230100131), we get a palindrome (354231132453).

The spelling of 131001032322 in words is "one hundred thirty-one billion, one million, thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 563 1126 1689 3378 5067 10134 15201 30402 4308961 8617922 12926883 25853766 38780649 77561298 116341947 232683894 2425945043 4851890086 7277835129 14555670258 21833505387 43667010774 65500516161 131001032322