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85206972131 is a prime number
BaseRepresentation
bin100111101011010111…
…0110011011011100011
322010221012221122221122
41033112232303123203
52344000441102011
6103051001042455
76104336212241
oct1172656633343
9263835848848
1085206972131
1133155129336
121461b78642b
13805bb1c308
1441a4515791
15233a6aa3db
hex13d6bb36e3

85206972131 has 2 divisors, whose sum is σ = 85206972132. Its totient is φ = 85206972130.

The previous prime is 85206972119. The next prime is 85206972157. The reversal of 85206972131 is 13127960258.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85206972131 is a prime.

It is a super-2 number, since 2×852069721312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85206972731) 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, 42603486065 + 42603486066.

It is an arithmetic number, because the mean of its divisors is an integer number (42603486066).

Almost surely, 285206972131 is an apocalyptic number.

85206972131 is a deficient number, since it is larger than the sum of its proper divisors (1).

85206972131 is an equidigital number, since it uses as much as digits as its factorization.

85206972131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 85206972131 in words is "eighty-five billion, two hundred six million, nine hundred seventy-two thousand, one hundred thirty-one".