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312333414131 is a prime number
BaseRepresentation
bin1001000101110001000…
…01011010111011110011
31002212012001102101022002
410202320201122323303
520104124323223011
6355252313004215
731364625134054
oct4427041327363
91085161371262
10312333414131
11110507084942
12506479b366b
13235b70901ab
141118d15072b
1581d033dc3b
hex48b885aef3

312333414131 has 2 divisors, whose sum is σ = 312333414132. Its totient is φ = 312333414130.

The previous prime is 312333414091. The next prime is 312333414139. The reversal of 312333414131 is 131414333213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312333414131 is a prime.

It is a super-2 number, since 2×3123334141312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312333414094 and 312333414103.

It is not a weakly prime, because it can be changed into another prime (312333414139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156166707065 + 156166707066.

It is an arithmetic number, because the mean of its divisors is an integer number (156166707066).

Almost surely, 2312333414131 is an apocalyptic number.

312333414131 is a deficient number, since it is larger than the sum of its proper divisors (1).

312333414131 is an equidigital number, since it uses as much as digits as its factorization.

312333414131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 29.

Adding to 312333414131 its reverse (131414333213), we get a palindrome (443747747344).

The spelling of 312333414131 in words is "three hundred twelve billion, three hundred thirty-three million, four hundred fourteen thousand, one hundred thirty-one".