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31321112213 is a prime number
BaseRepresentation
bin11101001010111000…
…100011111010010101
32222211211012100122002
4131022320203322111
51003121201042323
622215544045045
72156111026646
oct351270437225
988754170562
1031321112213
1112312a51206
1260a1463785
132c51cb27c1
141731aa36cd
15c34ad9828
hex74ae23e95

31321112213 has 2 divisors, whose sum is σ = 31321112214. Its totient is φ = 31321112212.

The previous prime is 31321112117. The next prime is 31321112219. The reversal of 31321112213 is 31221112313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29777643844 + 1543468369 = 172562^2 + 39287^2 .

It is a cyclic number.

It is not a de Polignac number, because 31321112213 - 216 = 31321046677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31321112219) 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 as a sum of consecutive naturals, namely, 15660556106 + 15660556107.

It is an arithmetic number, because the mean of its divisors is an integer number (15660556107).

Almost surely, 231321112213 is an apocalyptic number.

It is an amenable number.

31321112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

31321112213 is an equidigital number, since it uses as much as digits as its factorization.

31321112213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 20.

Adding to 31321112213 its reverse (31221112313), we get a palindrome (62542224526).

The spelling of 31321112213 in words is "thirty-one billion, three hundred twenty-one million, one hundred twelve thousand, two hundred thirteen".