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202112302321249 is a prime number
BaseRepresentation
bin101101111101000111101111…
…111111000000111001100001
3222111121202011212002220220221
4231331013233333000321201
5202442401443343234444
61553505035423003041
760400063156643065
oct5575075777007141
9874552155086827
10202112302321249
1159443389670281
121a802875139481
1388a1153cc89c8
1437ca40536baa5
151857611343a84
hexb7d1effc0e61

202112302321249 has 2 divisors, whose sum is σ = 202112302321250. Its totient is φ = 202112302321248.

The previous prime is 202112302321231. The next prime is 202112302321339. The reversal of 202112302321249 is 942123203211202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189511896734224 + 12600405587025 = 13766332^2 + 3549705^2 .

It is a cyclic number.

It is not a de Polignac number, because 202112302321249 - 25 = 202112302321217 is a prime.

It is not a weakly prime, because it can be changed into another prime (202112302321219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101056151160624 + 101056151160625.

It is an arithmetic number, because the mean of its divisors is an integer number (101056151160625).

Almost surely, 2202112302321249 is an apocalyptic number.

It is an amenable number.

202112302321249 is a deficient number, since it is larger than the sum of its proper divisors (1).

202112302321249 is an equidigital number, since it uses as much as digits as its factorization.

202112302321249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 202112302321249 in words is "two hundred two trillion, one hundred twelve billion, three hundred two million, three hundred twenty-one thousand, two hundred forty-nine".