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207137291729 is a prime number
BaseRepresentation
bin1100000011101001011…
…0000011110111010001
3201210122202100200010112
43000322112003313101
511343204121313404
6235054011011105
720652024633464
oct3007226036721
9653582320115
10207137291729
117a934668105
1234189a39a95
13166c0bc4814
14a04dd792db
1555c4d5c56e
hex303a583dd1

207137291729 has 2 divisors, whose sum is σ = 207137291730. Its totient is φ = 207137291728.

The previous prime is 207137291657. The next prime is 207137291773. The reversal of 207137291729 is 927192731702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146646873025 + 60490418704 = 382945^2 + 245948^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-207137291729 is a prime.

It is not a weakly prime, because it can be changed into another prime (207137291329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103568645864 + 103568645865.

It is an arithmetic number, because the mean of its divisors is an integer number (103568645865).

Almost surely, 2207137291729 is an apocalyptic number.

It is an amenable number.

207137291729 is a deficient number, since it is larger than the sum of its proper divisors (1).

207137291729 is an equidigital number, since it uses as much as digits as its factorization.

207137291729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 666792, while the sum is 50.

The spelling of 207137291729 in words is "two hundred seven billion, one hundred thirty-seven million, two hundred ninety-one thousand, seven hundred twenty-nine".