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31241102013 = 32111916608773
BaseRepresentation
bin11101000110000111…
…010110001010111101
32222122020122102021100
4131012013112022331
51002440210231023
622204005123313
72154116662032
oct350607261275
988566572240
1031241102013
1112281873380
12607a6b9539
132c3b54a8a4
1417251d7389
15c2ca82c43
hex7461d62bd

31241102013 has 24 divisors (see below), whose sum is σ = 51819374880. Its totient is φ = 17937473760.

The previous prime is 31241101999. The next prime is 31241102021. The reversal of 31241102013 is 31020114213.

It is not a de Polignac number, because 31241102013 - 28 = 31241101757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31241102813) 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, 8302506 + ... + 8306267.

It is an arithmetic number, because the mean of its divisors is an integer number (2159140620).

Almost surely, 231241102013 is an apocalyptic number.

31241102013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31241102013 is a deficient number, since it is larger than the sum of its proper divisors (20578272867).

31241102013 is a wasteful number, since it uses less digits than its factorization.

31241102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16608809 (or 16608806 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31241102013 its reverse (31020114213), we get a palindrome (62261216226).

The spelling of 31241102013 in words is "thirty-one billion, two hundred forty-one million, one hundred two thousand, thirteen".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 16608773 49826319 149478957 182696503 315566687 548089509 946700061 1644268527 2840100183 3471233557 10413700671 31241102013