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400363131 = 37181105331
BaseRepresentation
bin10111110111010…
…000111001111011
31000220100112222010
4113313100321323
51304443110011
6103421101003
712631013310
oct2767207173
91026315863
10400363131
11195aa3823
12b20b7763
1364c3a97c
143b25ad07
15252361a6
hex17dd0e7b

400363131 has 16 divisors (see below), whose sum is σ = 613453568. Its totient is φ = 227512800.

The previous prime is 400363127. The next prime is 400363157. The reversal of 400363131 is 131363004.

It is not a de Polignac number, because 400363131 - 22 = 400363127 is a prime.

It is a super-2 number, since 2×4003631312 = 320581273328246322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 400363098 and 400363107.

It is not an unprimeable number, because it can be changed into a prime (400343131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48865 + ... + 56466.

It is an arithmetic number, because the mean of its divisors is an integer number (38340848).

Almost surely, 2400363131 is an apocalyptic number.

400363131 is a deficient number, since it is larger than the sum of its proper divisors (213090437).

400363131 is a wasteful number, since it uses less digits than its factorization.

400363131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105522.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 400363131 is about 20009.0762155578. The cubic root of 400363131 is about 737.0291966314.

The spelling of 400363131 in words is "four hundred million, three hundred sixty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 181 543 1267 3801 105331 315993 737317 2211951 19064911 57194733 133454377 400363131