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31012421013 = 3272321402637
BaseRepresentation
bin11100111000011110…
…111111110110010101
32222001022100012220200
4130320132333312111
51002003134433023
622125155451113
72145342141420
oct347036776625
988038305820
1031012421013
1112174780a12
126015bb6a99
132c03060aa2
141702aaa9b7
15c17960743
hex7387bfd95

31012421013 has 24 divisors (see below), whose sum is σ = 53420984448. Its totient is φ = 16950887712.

The previous prime is 31012420979. The next prime is 31012421021.

31012421013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31012421013 - 26 = 31012420949 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 (31012421023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10699870 + ... + 10702767.

It is an arithmetic number, because the mean of its divisors is an integer number (2225874352).

Almost surely, 231012421013 is an apocalyptic number.

It is an amenable number.

31012421013 is a deficient number, since it is larger than the sum of its proper divisors (22408563435).

31012421013 is a wasteful number, since it uses less digits than its factorization.

31012421013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21402673 (or 21402670 counting only the distinct ones).

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

The spelling of 31012421013 in words is "thirty-one billion, twelve million, four hundred twenty-one thousand, thirteen".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 21402637 64207911 149818459 192623733 449455377 492260651 1348366131 1476781953 3445824557 4430345859 10337473671 31012421013