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311322123131 is a prime number
BaseRepresentation
bin1001000011111000011…
…11101001101101111011
31002202120120111110211212
410201330033221231323
520100041430420011
6355004105313335
731330565245565
oct4417417515573
91082516443755
10311322123131
11110038249a58
125040519584b
13234856cb956
14110d4b04335
15817167c08b
hex487c3e9b7b

311322123131 has 2 divisors, whose sum is σ = 311322123132. Its totient is φ = 311322123130.

The previous prime is 311322123097. The next prime is 311322123137. The reversal of 311322123131 is 131321223113.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 311322123131 - 214 = 311322106747 is a prime.

It is a super-2 number, since 2×3113221231312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311322123097 and 311322123106.

It is not a weakly prime, because it can be changed into another prime (311322123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155661061565 + 155661061566.

It is an arithmetic number, because the mean of its divisors is an integer number (155661061566).

Almost surely, 2311322123131 is an apocalyptic number.

311322123131 is a deficient number, since it is larger than the sum of its proper divisors (1).

311322123131 is an equidigital number, since it uses as much as digits as its factorization.

311322123131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

Adding to 311322123131 its reverse (131321223113), we get a palindrome (442643346244).

The spelling of 311322123131 in words is "three hundred eleven billion, three hundred twenty-two million, one hundred twenty-three thousand, one hundred thirty-one".