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102202319981 is a prime number
BaseRepresentation
bin101111100101110111…
…0111010010001101101
3100202210122200210022102
41133023232322101231
53133302243214411
6114541234224445
710245445246316
oct1371356722155
9322718623272
10102202319981
113a3865aa763
1217983425125
139839b74068
144d3774360d
1529d2763d3b
hex17cbbba46d

102202319981 has 2 divisors, whose sum is σ = 102202319982. Its totient is φ = 102202319980.

The previous prime is 102202319963. The next prime is 102202320001. The reversal of 102202319981 is 189913202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73039927081 + 29162392900 = 270259^2 + 170770^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102202319981 is a prime.

It is a super-2 number, since 2×1022023199812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102702319981) 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, 51101159990 + 51101159991.

It is an arithmetic number, because the mean of its divisors is an integer number (51101159991).

Almost surely, 2102202319981 is an apocalyptic number.

It is an amenable number.

102202319981 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202319981 is an equidigital number, since it uses as much as digits as its factorization.

102202319981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 102202319981 in words is "one hundred two billion, two hundred two million, three hundred nineteen thousand, nine hundred eighty-one".