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312103000222193 is a prime number
BaseRepresentation
bin100011011110110110010010…
…0011101100010100111110001
31111221001202101201010010000202
41012331230210131202213301
5311401443421024102233
63023442050002324545
7122511461203110425
oct10675544435424761
91457052351103022
10312103000222193
119049a1591317a4
122b00779b359755
131051c25706582b
14570dc19ad8b85
1526137ae0a3be8
hex11bdb247629f1

312103000222193 has 2 divisors, whose sum is σ = 312103000222194. Its totient is φ = 312103000222192.

The previous prime is 312103000222187. The next prime is 312103000222217. The reversal of 312103000222193 is 391222000301213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183314729548129 + 128788270674064 = 13539377^2 + 11348492^2 .

It is an emirp because it is prime and its reverse (391222000301213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312103000222193 - 26 = 312103000222129 is a prime.

It is not a weakly prime, because it can be changed into another prime (312103000224193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156051500111096 + 156051500111097.

It is an arithmetic number, because the mean of its divisors is an integer number (156051500111097).

Almost surely, 2312103000222193 is an apocalyptic number.

It is an amenable number.

312103000222193 is a deficient number, since it is larger than the sum of its proper divisors (1).

312103000222193 is an equidigital number, since it uses as much as digits as its factorization.

312103000222193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 312103000222193 in words is "three hundred twelve trillion, one hundred three billion, two hundred twenty-two thousand, one hundred ninety-three".