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312341201149 is a prime number
BaseRepresentation
bin1001000101110001111…
…11001000000011111101
31002212012121002000002011
410202320333020003331
520104133321414044
6355253151531221
731365051255535
oct4427077100375
91085177060064
10312341201149
1111051051339a
125064a529b11
13235b88886b3
14111901ba4c5
1581d0d7b134
hex48b8fc80fd

312341201149 has 2 divisors, whose sum is σ = 312341201150. Its totient is φ = 312341201148.

The previous prime is 312341201119. The next prime is 312341201209. The reversal of 312341201149 is 941102143213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296487873049 + 15853328100 = 544507^2 + 125910^2 .

It is a cyclic number.

It is not a de Polignac number, because 312341201149 - 29 = 312341200637 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312341201149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312341201119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156170600574 + 156170600575.

It is an arithmetic number, because the mean of its divisors is an integer number (156170600575).

Almost surely, 2312341201149 is an apocalyptic number.

It is an amenable number.

312341201149 is a deficient number, since it is larger than the sum of its proper divisors (1).

312341201149 is an equidigital number, since it uses as much as digits as its factorization.

312341201149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 312341201149 in words is "three hundred twelve billion, three hundred forty-one million, two hundred one thousand, one hundred forty-nine".