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213113212957 is a prime number
BaseRepresentation
bin1100011001111010001…
…0011001000000011101
3202101002020002220221101
43012132202121000131
511442423440303312
6241523003433101
721253100264401
oct3063642310035
9671066086841
10213113212957
1182420942187
1235377225791
1317133cac798
14a4598bb101
1558247daa57
hex319e89901d

213113212957 has 2 divisors, whose sum is σ = 213113212958. Its totient is φ = 213113212956.

The previous prime is 213113212909. The next prime is 213113212973. The reversal of 213113212957 is 759212311312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212169863161 + 943349796 = 460619^2 + 30714^2 .

It is a cyclic number.

It is not a de Polignac number, because 213113212957 - 235 = 178753474589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213113212357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106556606478 + 106556606479.

It is an arithmetic number, because the mean of its divisors is an integer number (106556606479).

Almost surely, 2213113212957 is an apocalyptic number.

It is an amenable number.

213113212957 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113212957 is an equidigital number, since it uses as much as digits as its factorization.

213113212957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 37.

The spelling of 213113212957 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred twelve thousand, nine hundred fifty-seven".