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131132201031 = 32133136154453
BaseRepresentation
bin111101000100000010…
…1101001100001000111
3110112110211101000110100
41322020011221201013
54122024320413111
6140124042055143
712321402213666
oct1721005514107
9415424330410
10131132201031
1150681788567
12214b7aaa4b3
13c49a61b280
1464bd9caddd
15362745a756
hex1e88169847

131132201031 has 24 divisors (see below), whose sum is σ = 210563540096. Its totient is φ = 78093616320.

The previous prime is 131132201021. The next prime is 131132201111. The reversal of 131132201031 is 130102231131.

131132201031 is a `hidden beast` number, since 1 + 311 + 322 + 0 + 1 + 0 + 31 = 666.

It is not a de Polignac number, because 131132201031 - 25 = 131132200999 is a prime.

It is a super-2 number, since 2×1311322010312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131132200995 and 131132201013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131132201021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18073600 + ... + 18080853.

Almost surely, 2131132201031 is an apocalyptic number.

131132201031 is a deficient number, since it is larger than the sum of its proper divisors (79431339065).

131132201031 is a wasteful number, since it uses less digits than its factorization.

131132201031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36154503 (or 36154500 counting only the distinct ones).

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

Adding to 131132201031 its reverse (130102231131), we get a palindrome (261234432162).

It can be divided in two parts, 13113 and 2201031, that added together give a square (2214144 = 14882).

The spelling of 131132201031 in words is "one hundred thirty-one billion, one hundred thirty-two million, two hundred one thousand, thirty-one".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 36154453 108463359 325390077 470007889 1120788043 1410023667 3362364129 4230071001 10087092387 14570244559 43710733677 131132201031