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413002131 = 31710775683
BaseRepresentation
bin11000100111011…
…110100110010011
31001210010200102020
4120213132212103
51321212032011
6104552022523
713143313563
oct3047364623
91053120366
10413002131
111a2146683
12b6391a43
1367744779
143cbcada3
15263d1006
hex189de993

413002131 has 16 divisors (see below), whose sum is σ = 588518784. Its totient is φ = 256713344.

The previous prime is 413002127. The next prime is 413002133. The reversal of 413002131 is 131200314.

It is a cyclic number.

It is not a de Polignac number, because 413002131 - 22 = 413002127 is a prime.

It is a super-2 number, since 2×4130021312 = 341141520421082322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413002131.

It is not an unprimeable number, because it can be changed into a prime (413002133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32385 + ... + 43298.

It is an arithmetic number, because the mean of its divisors is an integer number (36782424).

Almost surely, 2413002131 is an apocalyptic number.

413002131 is a deficient number, since it is larger than the sum of its proper divisors (175516653).

413002131 is a wasteful number, since it uses less digits than its factorization.

413002131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75810.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 413002131 is about 20322.4538626614. The cubic root of 413002131 is about 744.7047046741.

Adding to 413002131 its reverse (131200314), we get a palindrome (544202445).

The spelling of 413002131 in words is "four hundred thirteen million, two thousand, one hundred thirty-one".

Divisors: 1 3 17 51 107 321 1819 5457 75683 227049 1286611 3859833 8098081 24294243 137667377 413002131