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312210141012149 is a prime number
BaseRepresentation
bin100011011111101000001011…
…0100011001110000010110101
31111221102222221112102011120112
41012333100112203032002311
5311410222332044342044
63024003205253312405
7122522303225565512
oct10677202643160265
91457388845364515
10312210141012149
1190530639332aa6
122b024500635705
13105293a00a3c73
1457150a1284309
15261648016809e
hex11bf4168ce0b5

312210141012149 has 2 divisors, whose sum is σ = 312210141012150. Its totient is φ = 312210141012148.

The previous prime is 312210141012061. The next prime is 312210141012151. The reversal of 312210141012149 is 941210141012213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311582865924100 + 627275088049 = 17651710^2 + 792007^2 .

It is a cyclic number.

It is not a de Polignac number, because 312210141012149 - 244 = 294617954967733 is a prime.

It is a Sophie Germain prime.

Together with 312210141012151, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312210143012149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105070506074 + 156105070506075.

It is an arithmetic number, because the mean of its divisors is an integer number (156105070506075).

Almost surely, 2312210141012149 is an apocalyptic number.

It is an amenable number.

312210141012149 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210141012149 is an equidigital number, since it uses as much as digits as its factorization.

312210141012149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 312210141012149 in words is "three hundred twelve trillion, two hundred ten billion, one hundred forty-one million, twelve thousand, one hundred forty-nine".