Search a number
-
+
31375316313 = 3211347913321
BaseRepresentation
bin11101001110000111…
…010101010101011001
32222222121012012200100
4131032013111111121
51003224040110223
622225201530013
72160336534255
oct351607252531
988877165610
1031375316313
1112340603590
1260b7643909
132c602b0633
141738d73265
15c39745043
hex74e1d5559

31375316313 has 24 divisors (see below), whose sum is σ = 49582424736. Its totient is φ = 18960523200.

The previous prime is 31375316299. The next prime is 31375316321. The reversal of 31375316313 is 31361357313.

31375316313 is a `hidden beast` number, since 3 + 13 + 7 + 5 + 3 + 1 + 631 + 3 = 666.

It is not a de Polignac number, because 31375316313 - 25 = 31375316281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31375316333) 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 23 ways as a sum of consecutive naturals, for example, 422308 + ... + 491013.

It is an arithmetic number, because the mean of its divisors is an integer number (2065934364).

Almost surely, 231375316313 is an apocalyptic number.

31375316313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31375316313 is a deficient number, since it is larger than the sum of its proper divisors (18207108423).

31375316313 is a wasteful number, since it uses less digits than its factorization.

31375316313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913685 (or 913682 counting only the distinct ones).

The product of its digits is 51030, while the sum is 36.

The spelling of 31375316313 in words is "thirty-one billion, three hundred seventy-five million, three hundred sixteen thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 99 347 1041 3123 3817 11451 34353 913321 2739963 8219889 10046531 30139593 90418779 316922387 950767161 2852301483 3486146257 10458438771 31375316313