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313421122033 is a prime number
BaseRepresentation
bin1001000111110010101…
…10101100100111110001
31002221222212010200000221
410203321112230213301
520113341301401113
6355552250213041
731433603403115
oct4437126544761
91087885120027
10313421122033
11110a15063998
12508b0124181
132372b528c36
14112537ad745
158245a9798d
hex48f95ac9f1

313421122033 has 2 divisors, whose sum is σ = 313421122034. Its totient is φ = 313421122032.

The previous prime is 313421122009. The next prime is 313421122039. The reversal of 313421122033 is 330221124313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168369067584 + 145052054449 = 410328^2 + 380857^2 .

It is a cyclic number.

It is not a de Polignac number, because 313421122033 - 225 = 313387567601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313421121989 and 313421122007.

It is not a weakly prime, because it can be changed into another prime (313421122039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156710561016 + 156710561017.

It is an arithmetic number, because the mean of its divisors is an integer number (156710561017).

Almost surely, 2313421122033 is an apocalyptic number.

It is an amenable number.

313421122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

313421122033 is an equidigital number, since it uses as much as digits as its factorization.

313421122033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 313421122033 its reverse (330221124313), we get a palindrome (643642246346).

The spelling of 313421122033 in words is "three hundred thirteen billion, four hundred twenty-one million, one hundred twenty-two thousand, thirty-three".