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31000310013 = 3738316310463
BaseRepresentation
bin11100110111110000…
…110011000011111101
32222000110112220202010
4130313300303003331
51001442034410023
622124044121433
72145134200401
oct346760630375
988013486663
1031000310013
1112168959822
126011b36279
132c006b040a
141701237101
15c1686c093
hex737c330fd

31000310013 has 32 divisors (see below), whose sum is σ = 42669010944. Its totient is φ = 20012717952.

The previous prime is 31000310009. The next prime is 31000310017. The reversal of 31000310013 is 31001300013.

It is an interprime number because it is at equal distance from previous prime (31000310009) and next prime (31000310017).

It is not a de Polignac number, because 31000310013 - 22 = 31000310009 is a prime.

It is a super-2 number, since 2×310003100132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31000310017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2957620 + ... + 2968082.

It is an arithmetic number, because the mean of its divisors is an integer number (1333406592).

Almost surely, 231000310013 is an apocalyptic number.

It is an amenable number.

31000310013 is a deficient number, since it is larger than the sum of its proper divisors (11668700931).

31000310013 is a wasteful number, since it uses less digits than its factorization.

31000310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 31000310013 its reverse (31001300013), we get a palindrome (62001610026).

The spelling of 31000310013 in words is "thirty-one billion, three hundred ten thousand, thirteen".

Divisors: 1 3 73 83 163 219 249 489 6059 10463 11899 13529 18177 31389 35697 40587 763799 868429 987617 1705469 2291397 2605287 2962851 5116407 63395317 124499237 141553927 190185951 373497711 424661781 10333436671 31000310013