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313331020331 = 736715786843
BaseRepresentation
bin1001000111100111111…
…10111111001000101011
31002221202120121000201212
410203303332333020223
520113200220122311
6355535311103335
731431430505000
oct4436376771053
91087676530655
10313331020331
1111097921317a
1250885b11b4b
132371596c914
14112458378a7
15823cbeac8b
hex48f3fbf22b

313331020331 has 32 divisors (see below), whose sum is σ = 373220774400. Its totient is φ = 262872818208.

The previous prime is 313331020253. The next prime is 313331020333. The reversal of 313331020331 is 133020133313.

It is not a de Polignac number, because 313331020331 - 222 = 313326826027 is a prime.

It is a super-2 number, since 2×3133310203312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313331020297 and 313331020306.

It is not an unprimeable number, because it can be changed into a prime (313331020333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3564596 + ... + 3651438.

It is an arithmetic number, because the mean of its divisors is an integer number (11663149200).

Almost surely, 2313331020331 is an apocalyptic number.

313331020331 is a deficient number, since it is larger than the sum of its proper divisors (59889754069).

313331020331 is an equidigital number, since it uses as much as digits as its factorization.

313331020331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87088 (or 87074 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 313331020331 its reverse (133020133313), we get a palindrome (446351153644).

The spelling of 313331020331 in words is "three hundred thirteen billion, three hundred thirty-one million, twenty thousand, three hundred thirty-one".

Divisors: 1 7 49 67 157 343 469 1099 3283 7693 10519 22981 53851 73633 86843 515431 607901 3608017 4255307 5818481 13634351 29787149 40729367 95440457 285105569 668083199 913501517 1995738983 4676582393 6394510619 44761574333 313331020331