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210013133117 is a prime number
BaseRepresentation
bin1100001110010111000…
…0100001100100111101
3202002002011202112212112
43003211300201210331
511420101330224432
6240251222143405
721113215114634
oct3034560414475
9662064675775
10210013133117
118107aa36327
1234850b81b65
1316a5b957308
14a243ca251b
1556e25787b2
hex30e5c2193d

210013133117 has 2 divisors, whose sum is σ = 210013133118. Its totient is φ = 210013133116.

The previous prime is 210013133089. The next prime is 210013133129. The reversal of 210013133117 is 711331310012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176996062681 + 33017070436 = 420709^2 + 181706^2 .

It is a cyclic number.

It is not a de Polignac number, because 210013133117 - 212 = 210013129021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210013133092 and 210013133101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210013138117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105006566558 + 105006566559.

It is an arithmetic number, because the mean of its divisors is an integer number (105006566559).

Almost surely, 2210013133117 is an apocalyptic number.

It is an amenable number.

210013133117 is a deficient number, since it is larger than the sum of its proper divisors (1).

210013133117 is an equidigital number, since it uses as much as digits as its factorization.

210013133117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 210013133117 its reverse (711331310012), we get a palindrome (921344443129).

The spelling of 210013133117 in words is "two hundred ten billion, thirteen million, one hundred thirty-three thousand, one hundred seventeen".