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31120331201 = 292122930109
BaseRepresentation
bin11100111110111010…
…101001000111000001
32222022211101121212022
4130332322221013001
51002213301044301
622144012411225
72151122310401
oct347672510701
988284347768
1031120331201
111221a685493
126046176b15
132c1c513b7b
14171315a801
15c22178d1b
hex73eea91c1

31120331201 has 12 divisors (see below), whose sum is σ = 32257746300. Its totient is φ = 30021770688.

The previous prime is 31120331183. The next prime is 31120331213. The reversal of 31120331201 is 10213302113.

It can be written as a sum of positive squares in 6 ways, for example, as 2484922801 + 28635408400 = 49849^2 + 169220^2 .

It is a de Polignac number, because none of the positive numbers 2k-31120331201 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 31120331201.

It is not an unprimeable number, because it can be changed into a prime (31120321201) 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 11 ways as a sum of consecutive naturals, for example, 1018535 + ... + 1048643.

It is an arithmetic number, because the mean of its divisors is an integer number (2688145525).

Almost surely, 231120331201 is an apocalyptic number.

It is an amenable number.

31120331201 is a deficient number, since it is larger than the sum of its proper divisors (1137415099).

31120331201 is a wasteful number, since it uses less digits than its factorization.

31120331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31396 (or 31367 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 31120331201 its reverse (10213302113), we get a palindrome (41333633314).

The spelling of 31120331201 in words is "thirty-one billion, one hundred twenty million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 29 841 1229 30109 35641 873161 1033589 25321669 37003961 1073114869 31120331201