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312123102131 is a prime number
BaseRepresentation
bin1001000101010111111…
…11001001001110110011
31002211122101200102110202
410202223333021032303
520103212003232011
6355215401145415
731356462410411
oct4425377111663
91084571612422
10312123102131
11110409399375
12505a948b26b
1323582635319
141116d2462b1
1581bbb4923b
hex48abfc93b3

312123102131 has 2 divisors, whose sum is σ = 312123102132. Its totient is φ = 312123102130.

The previous prime is 312123102127. The next prime is 312123102163. The reversal of 312123102131 is 131201321213.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312123102131 - 22 = 312123102127 is a prime.

It is a super-2 number, since 2×3121231021312 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312123102101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061551065 + 156061551066.

It is an arithmetic number, because the mean of its divisors is an integer number (156061551066).

Almost surely, 2312123102131 is an apocalyptic number.

312123102131 is a deficient number, since it is larger than the sum of its proper divisors (1).

312123102131 is an equidigital number, since it uses as much as digits as its factorization.

312123102131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312123102131 its reverse (131201321213), we get a palindrome (443324423344).

The spelling of 312123102131 in words is "three hundred twelve billion, one hundred twenty-three million, one hundred two thousand, one hundred thirty-one".