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31245654213 = 3210134373657
BaseRepresentation
bin11101000110011000…
…101101100011000101
32222122120012200201100
4131012120231203011
51002442341413323
622204250450313
72154203451534
oct350630554305
988576180640
1031245654213
11122843a2524
126080133999
132c3c4828b7
141725a6031b
15c2d181943
hex74662d8c5

31245654213 has 12 divisors (see below), whose sum is σ = 45579470508. Its totient is φ = 20624193600.

The previous prime is 31245654157. The next prime is 31245654233.

31245654213 is a `hidden beast` number, since 31 + 24 + 56 + 542 + 13 = 666.

31245654213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 29457886689 + 1787767524 = 171633^2 + 42282^2 .

It is not a de Polignac number, because 31245654213 - 213 = 31245646021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31245654233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17185920 + ... + 17187737.

It is an arithmetic number, because the mean of its divisors is an integer number (3798289209).

Almost surely, 231245654213 is an apocalyptic number.

It is an amenable number.

31245654213 is a deficient number, since it is larger than the sum of its proper divisors (14333816295).

31245654213 is a wasteful number, since it uses less digits than its factorization.

31245654213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34373764 (or 34373761 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 31245654213 in words is "thirty-one billion, two hundred forty-five million, six hundred fifty-four thousand, two hundred thirteen".

Divisors: 1 3 9 101 303 909 34373657 103120971 309362913 3471739357 10415218071 31245654213