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404213131 = 71729311593
BaseRepresentation
bin11000000101111…
…100110110001011
31001011121011011201
4120011330312023
51311434310011
6104035405031
713005516640
oct3005746613
91034534151
10404213131
11198193343
12b3453777
136598818a
143b97ddc7
1525746cc1
hex1817cd8b

404213131 has 16 divisors (see below), whose sum is σ = 490843584. Its totient is φ = 324946944.

The previous prime is 404213053. The next prime is 404213141. The reversal of 404213131 is 131312404.

It is not a de Polignac number, because 404213131 - 27 = 404213003 is a prime.

It is a super-2 number, since 2×4042131312 = 326776510545646322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404213099 and 404213108.

It is not an unprimeable number, because it can be changed into a prime (404213141) 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, 29071 + ... + 40663.

It is an arithmetic number, because the mean of its divisors is an integer number (30677724).

Almost surely, 2404213131 is an apocalyptic number.

404213131 is a deficient number, since it is larger than the sum of its proper divisors (86630453).

404213131 is a wasteful number, since it uses less digits than its factorization.

404213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11910.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 404213131 is about 20105.0523749629. The cubic root of 404213131 is about 739.3841546531.

Adding to 404213131 its reverse (131312404), we get a palindrome (535525535).

The spelling of 404213131 in words is "four hundred four million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 7 17 119 293 2051 4981 11593 34867 81151 197081 1379567 3396749 23777243 57744733 404213131