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213111310931 is a prime number
BaseRepresentation
bin1100011001111001101…
…1001000101001010011
3202101002002112021211222
43012132123020221103
511442422443422211
6241522454555255
721253045153211
oct3063633105123
9671062467758
10213111310931
118241a863162
1235376668b2b
1317133794b1c
14a459543cb1
1558245621db
hex319e6c8a53

213111310931 has 2 divisors, whose sum is σ = 213111310932. Its totient is φ = 213111310930.

The previous prime is 213111310873. The next prime is 213111311047. The reversal of 213111310931 is 139013111312.

213111310931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213111310931 is a prime.

It is a super-2 number, since 2×2131113109312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213111310931.

It is not a weakly prime, because it can be changed into another prime (213111340931) 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, 106555655465 + 106555655466.

It is an arithmetic number, because the mean of its divisors is an integer number (106555655466).

Almost surely, 2213111310931 is an apocalyptic number.

213111310931 is a deficient number, since it is larger than the sum of its proper divisors (1).

213111310931 is an equidigital number, since it uses as much as digits as its factorization.

213111310931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 213111310931 in words is "two hundred thirteen billion, one hundred eleven million, three hundred ten thousand, nine hundred thirty-one".