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31131392148 = 2233674302293
BaseRepresentation
bin11100111111100100…
…110101100010010100
32222100121012120122000
4130333210311202110
51002224114022043
622145045435300
72151315316143
oct347744654224
988317176560
1031131392148
111222594a76a
126049a0bb30
132c218b75cc
1417147d975a
15c231112d3
hex73f935894

31131392148 has 48 divisors (see below), whose sum is σ = 81915677760. Its totient is φ = 10222245792.

The previous prime is 31131392129. The next prime is 31131392161. The reversal of 31131392148 is 84129313113.

31131392148 is a `hidden beast` number, since 311 + 313 + 9 + 21 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 2143911 + ... + 2158382.

It is an arithmetic number, because the mean of its divisors is an integer number (1706576620).

Almost surely, 231131392148 is an apocalyptic number.

It is an amenable number.

31131392148 is an abundant number, since it is smaller than the sum of its proper divisors (50784285612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31131392148 is a wasteful number, since it uses less digits than its factorization.

31131392148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302373 (or 4302365 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 31131392148 in words is "thirty-one billion, one hundred thirty-one million, three hundred ninety-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 2412 3618 7236 4302293 8604586 12906879 17209172 25813758 38720637 51627516 77441274 116161911 154882548 232323822 288253631 464647644 576507262 864760893 1153014524 1729521786 2594282679 3459043572 5188565358 7782848037 10377130716 15565696074 31131392148