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131130401 = 1720033851
BaseRepresentation
bin1111101000011…
…10010000100001
3100010202010002112
413310032100201
5232032133101
621002325105
73151406243
oct764162041
9303663075
10131130401
1168024236
1237ab9795
132122316c
14135b6093
15b7a36bb
hex7d0e421

131130401 has 8 divisors (see below), whose sum is σ = 138949344. Its totient is φ = 123323200.

The previous prime is 131130361. The next prime is 131130437. The reversal of 131130401 is 104031131.

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 131130401 - 210 = 131129377 is a prime.

It is a super-3 number, since 3×1311304013 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131130451) 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, 32126 + ... + 35976.

It is an arithmetic number, because the mean of its divisors is an integer number (17368668).

Almost surely, 2131130401 is an apocalyptic number.

It is an amenable number.

131130401 is a deficient number, since it is larger than the sum of its proper divisors (7818943).

131130401 is a wasteful number, since it uses less digits than its factorization.

131130401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131130401 is about 11451.2183194628. The cubic root of 131130401 is about 508.0437696079.

Adding to 131130401 its reverse (104031131), we get a palindrome (235161532).

The spelling of 131130401 in words is "one hundred thirty-one million, one hundred thirty thousand, four hundred one".

Divisors: 1 17 2003 3851 34051 65467 7713553 131130401