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131022334001 = 1322974387741
BaseRepresentation
bin111101000000110001…
…0100010100000110001
3110112012011122012020002
41322001202202200301
54121313204142001
6140105115155345
712315566314646
oct1720142424061
9415164565202
10131022334001
1150625767869
1221487145b55
13c4809315b0
1464ad18bdcd
15361c9a746b
hex1e818a2831

131022334001 has 8 divisors (see below), whose sum is σ = 141162435624. Its totient is φ = 120891012480.

The previous prime is 131022333997. The next prime is 131022334039. The reversal of 131022334001 is 100433220131.

It can be written as a sum of positive squares in 4 ways, for example, as 1962490000 + 129059844001 = 44300^2 + 359249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131022334001 - 22 = 131022333997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131022336001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2164010 + ... + 2223731.

It is an arithmetic number, because the mean of its divisors is an integer number (17645304453).

Almost surely, 2131022334001 is an apocalyptic number.

It is an amenable number.

131022334001 is a deficient number, since it is larger than the sum of its proper divisors (10140101623).

131022334001 is a wasteful number, since it uses less digits than its factorization.

131022334001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390051.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131022334001 its reverse (100433220131), we get a palindrome (231455554132).

The spelling of 131022334001 in words is "one hundred thirty-one billion, twenty-two million, three hundred thirty-four thousand, one".

Divisors: 1 13 2297 29861 4387741 57040633 10078641077 131022334001