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312310121131 is a prime number
BaseRepresentation
bin1001000101101110010…
…00100100001010101011
31002212010102120222022101
410202313020210022223
520104102342334011
6355250121434231
731364223141331
oct4426710441253
91085112528271
10312310121131
111104a4a15528
125064003b977
13235b22c5c58
141118a009b51
1581cd28c2c1
hex48b72242ab

312310121131 has 2 divisors, whose sum is σ = 312310121132. Its totient is φ = 312310121130.

The previous prime is 312310121099. The next prime is 312310121173. The reversal of 312310121131 is 131121013213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312310121131 - 25 = 312310121099 is a prime.

It is a super-2 number, since 2×3123101211312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312310121099 and 312310121108.

It is not a weakly prime, because it can be changed into another prime (312317121131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156155060565 + 156155060566.

It is an arithmetic number, because the mean of its divisors is an integer number (156155060566).

Almost surely, 2312310121131 is an apocalyptic number.

312310121131 is a deficient number, since it is larger than the sum of its proper divisors (1).

312310121131 is an equidigital number, since it uses as much as digits as its factorization.

312310121131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 312310121131 its reverse (131121013213), we get a palindrome (443431134344).

The spelling of 312310121131 in words is "three hundred twelve billion, three hundred ten million, one hundred twenty-one thousand, one hundred thirty-one".