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31121013133 = 72635122717
BaseRepresentation
bin11100111110111101…
…001111100110001101
32222022212200021022001
4130332331033212031
51002213434410013
622144035152301
72151131150500
oct347675174615
988285607261
1031121013133
1112220000871
126046445691
132c1c6c2392
141713297137
15c22260ddd
hex73ef4f98d

31121013133 has 6 divisors (see below), whose sum is σ = 36201994926. Its totient is φ = 26675154072.

The previous prime is 31121013109. The next prime is 31121013179. The reversal of 31121013133 is 33131012113.

It can be written as a sum of positive squares in only one way, i.e., 24282053929 + 6838959204 = 155827^2 + 82698^2 .

It is not a de Polignac number, because 31121013133 - 25 = 31121013101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31121013133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31121013103) 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 5 ways as a sum of consecutive naturals, for example, 317561310 + ... + 317561407.

It is an arithmetic number, because the mean of its divisors is an integer number (6033665821).

Almost surely, 231121013133 is an apocalyptic number.

It is an amenable number.

31121013133 is a deficient number, since it is larger than the sum of its proper divisors (5080981793).

31121013133 is an equidigital number, since it uses as much as digits as its factorization.

31121013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635122731 (or 635122724 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31121013133 its reverse (33131012113), we get a palindrome (64252025246).

The spelling of 31121013133 in words is "thirty-one billion, one hundred twenty-one million, thirteen thousand, one hundred thirty-three".

Divisors: 1 7 49 635122717 4445859019 31121013133