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210129841172689 is a prime number
BaseRepresentation
bin101111110001110010101010…
…100010100011000011010001
31000120000012211220221021220121
4233301302222202203003101
5210020231403320011224
62022524152201310241
762155244231513104
oct5761625242430321
91016005756837817
10210129841172689
1160a546242a5159
121b6986a2795381
13903320b41c169
1439c64a50b673b
151945e5ce20be4
hexbf1caa8a30d1

210129841172689 has 2 divisors, whose sum is σ = 210129841172690. Its totient is φ = 210129841172688.

The previous prime is 210129841172677. The next prime is 210129841172761. The reversal of 210129841172689 is 986271148921012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115855450922689 + 94274390250000 = 10763617^2 + 9709500^2 .

It is a cyclic number.

It is not a de Polignac number, because 210129841172689 - 245 = 174945469083857 is a prime.

It is not a weakly prime, because it can be changed into another prime (210129841172659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105064920586344 + 105064920586345.

It is an arithmetic number, because the mean of its divisors is an integer number (105064920586345).

Almost surely, 2210129841172689 is an apocalyptic number.

It is an amenable number.

210129841172689 is a deficient number, since it is larger than the sum of its proper divisors (1).

210129841172689 is an equidigital number, since it uses as much as digits as its factorization.

210129841172689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6967296, while the sum is 61.

The spelling of 210129841172689 in words is "two hundred ten trillion, one hundred twenty-nine billion, eight hundred forty-one million, one hundred seventy-two thousand, six hundred eighty-nine".