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213122133109 is a prime number
BaseRepresentation
bin1100011001111100010…
…0011010110001110101
3202101002211220010002101
43012133010122301311
511442433231224414
6241523522542101
721253236145564
oct3063704326165
9671084803071
10213122133109
1182425985006
123537a207931
1317135ab3992
14a45ab5dbdb
15582549da74
hex319f11ac75

213122133109 has 2 divisors, whose sum is σ = 213122133110. Its totient is φ = 213122133108.

The previous prime is 213122132981. The next prime is 213122133143. The reversal of 213122133109 is 901331221312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212949946225 + 172186884 = 461465^2 + 13122^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122133109 - 27 = 213122132981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122133199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561066554 + 106561066555.

It is an arithmetic number, because the mean of its divisors is an integer number (106561066555).

Almost surely, 2213122133109 is an apocalyptic number.

It is an amenable number.

213122133109 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122133109 is an equidigital number, since it uses as much as digits as its factorization.

213122133109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 213122133109 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred nine".