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313023000321 = 32337606717011
BaseRepresentation
bin1001000111000011001…
…11111110111100000001
31002220222002222222201100
410203201213332330001
520112032342002241
6355444545125013
731421000413323
oct4434147767401
91086862888640
10313023000321
11110830361189
12507ba929769
1323696bc4565
1411216977613
158220b559b6
hex48e19fef01

313023000321 has 24 divisors (see below), whose sum is σ = 453587417504. Its totient is φ = 208016242560.

The previous prime is 313023000287. The next prime is 313023000349. The reversal of 313023000321 is 123000320313.

313023000321 is a `hidden beast` number, since 31 + 302 + 300 + 0 + 32 + 1 = 666.

It is not a de Polignac number, because 313023000321 - 231 = 310875516673 is a prime.

It is a super-2 number, since 2×3130230003212 (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 = 313023000294 and 313023000303.

It is not an unprimeable number, because it can be changed into a prime (313023000361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18392706 + ... + 18409716.

Almost surely, 2313023000321 is an apocalyptic number.

It is an amenable number.

313023000321 is a deficient number, since it is larger than the sum of its proper divisors (140564417183).

313023000321 is a wasteful number, since it uses less digits than its factorization.

313023000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23421 (or 23418 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313023000321 its reverse (123000320313), we get a palindrome (436023320634).

The spelling of 313023000321 in words is "three hundred thirteen billion, twenty-three million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 337 1011 3033 6067 17011 18201 51033 54603 153099 2044579 5732707 6133737 17198121 18401211 51594363 103205737 309617211 928851633 34780333369 104341000107 313023000321