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313223113021 = 72135323933877
BaseRepresentation
bin1001000111011011000…
…11010110100100111101
31002221111001112202201211
410203231203112210331
520112440104104041
6355520454204421
731425650350300
oct4435543264475
91087431482654
10313223113021
11110923310885
1250855953711
13236c94bac40
1411235388b37
1582334d3481
hex48ed8d693d

313223113021 has 48 divisors (see below), whose sum is σ = 400063197744. Its totient is φ = 242984641536.

The previous prime is 313223113013. The next prime is 313223113031. The reversal of 313223113021 is 120311322313.

It can be written as a sum of positive squares in 8 ways, for example, as 79967921796 + 233255191225 = 282786^2 + 482965^2 .

It is not a de Polignac number, because 313223113021 - 23 = 313223113013 is a prime.

It is a super-2 number, since 2×3132231130212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313223112983 and 313223113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313223113031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80788135 + ... + 80792011.

It is an arithmetic number, because the mean of its divisors is an integer number (8334649953).

Almost surely, 2313223113021 is an apocalyptic number.

It is an amenable number.

313223113021 is a deficient number, since it is larger than the sum of its proper divisors (86840084723).

313223113021 is a wasteful number, since it uses less digits than its factorization.

313223113021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 313223113021 its reverse (120311322313), we get a palindrome (433534435334).

The spelling of 313223113021 in words is "three hundred thirteen billion, two hundred twenty-three million, one hundred thirteen thousand, twenty-one".

Divisors: 1 7 13 49 53 91 371 637 689 2393 2597 3877 4823 16751 27139 31109 33761 50401 117257 126829 189973 205481 217763 352807 887803 1438367 1524341 1648777 2469649 2671253 6214621 9277661 10068569 11541439 18698771 64943627 80790073 120609593 130891397 454605389 491716033 844267151 3442012231 5909870057 6392308429 24094085617 44746159003 313223113021