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213111312097 is a prime number
BaseRepresentation
bin1100011001111001101…
…1001000111011100001
3202101002002112100110011
43012132123020323201
511442422443441342
6241522455004521
721253045156465
oct3063633107341
9671062470404
10213111312097
118241a864022
1235376669741
1317133795508
14a4595444a5
155824562717
hex319e6c8ee1

213111312097 has 2 divisors, whose sum is σ = 213111312098. Its totient is φ = 213111312096.

The previous prime is 213111312053. The next prime is 213111312119. The reversal of 213111312097 is 790213111312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210897703696 + 2213608401 = 459236^2 + 47049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213111312097 is a prime.

It is not a weakly prime, because it can be changed into another prime (213111012097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106555656048 + 106555656049.

It is an arithmetic number, because the mean of its divisors is an integer number (106555656049).

Almost surely, 2213111312097 is an apocalyptic number.

It is an amenable number.

213111312097 is a deficient number, since it is larger than the sum of its proper divisors (1).

213111312097 is an equidigital number, since it uses as much as digits as its factorization.

213111312097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 213111312097 in words is "two hundred thirteen billion, one hundred eleven million, three hundred twelve thousand, ninety-seven".