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131004401 = 1121082681
BaseRepresentation
bin1111100111011…
…11011111110001
3100010111201020212
413303233133301
5232014120101
620555513505
73150343013
oct763573761
9303451225
10131004401
1167a48600
1237a58895
13211aa9c8
14135821b3
15b77b1bb
hex7cef7f1

131004401 has 6 divisors (see below), whose sum is σ = 143996706. Its totient is φ = 119094800.

The previous prime is 131004337. The next prime is 131004421. The reversal of 131004401 is 104400131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 68973025 + 62031376 = 8305^2 + 7876^2 .

It is not a de Polignac number, because 131004401 - 26 = 131004337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131004421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 541220 + ... + 541461.

It is an arithmetic number, because the mean of its divisors is an integer number (23999451).

Almost surely, 2131004401 is an apocalyptic number.

131004401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131004401 is a deficient number, since it is larger than the sum of its proper divisors (12992305).

131004401 is a wasteful number, since it uses less digits than its factorization.

131004401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082703 (or 1082692 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131004401 is about 11445.7153992225. The cubic root of 131004401 is about 507.8809951776.

Adding to 131004401 its reverse (104400131), we get a palindrome (235404532).

The spelling of 131004401 in words is "one hundred thirty-one million, four thousand, four hundred one".

Divisors: 1 11 121 1082681 11909491 131004401