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312201102209 is a prime number
BaseRepresentation
bin1001000101100001010…
…00101100001110000001
31002211211211110020110112
410202300220230032001
520103341440232314
6355231225041105
731361430404033
oct4426050541601
91084754406415
10312201102209
11110449423a47
125060b626195
1323595845309
141117974bc53
1581c390543e
hex48b0a2c381

312201102209 has 2 divisors, whose sum is σ = 312201102210. Its totient is φ = 312201102208.

The previous prime is 312201102203. The next prime is 312201102263. The reversal of 312201102209 is 902201102213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259896040000 + 52305062209 = 509800^2 + 228703^2 .

It is a cyclic number.

It is not a de Polignac number, because 312201102209 - 228 = 311932666753 is a prime.

It is not a weakly prime, because it can be changed into another prime (312201102203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156100551104 + 156100551105.

It is an arithmetic number, because the mean of its divisors is an integer number (156100551105).

Almost surely, 2312201102209 is an apocalyptic number.

It is an amenable number.

312201102209 is a deficient number, since it is larger than the sum of its proper divisors (1).

312201102209 is an equidigital number, since it uses as much as digits as its factorization.

312201102209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 312201102209 in words is "three hundred twelve billion, two hundred one million, one hundred two thousand, two hundred nine".