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313213001031 = 32723321337489
BaseRepresentation
bin1001000111011001111…
…00110001110101000111
31002221110100112000200200
410203230330301311013
520112430012013111
6355515453341543
731425465403260
oct4435474616507
91087410460620
10313213001031
11110918634567
12508524978b3
13236c738a408
1411233cb5967
158232687256
hex48ecf31d47

313213001031 has 24 divisors (see below), whose sum is σ = 519269156640. Its totient is φ = 178210699776.

The previous prime is 313213001011. The next prime is 313213001053. The reversal of 313213001031 is 130100312313.

It is a happy number.

313213001031 is a `hidden beast` number, since 3 + 1 + 321 + 300 + 10 + 31 = 666.

It is not a de Polignac number, because 313213001031 - 25 = 313213000999 is a prime.

It is a super-2 number, since 2×3132130010312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313213000995 and 313213001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313213001011) 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, 10654066 + ... + 10683423.

It is an arithmetic number, because the mean of its divisors is an integer number (21636214860).

Almost surely, 2313213001031 is an apocalyptic number.

313213001031 is a deficient number, since it is larger than the sum of its proper divisors (206056155609).

313213001031 is a wasteful number, since it uses less digits than its factorization.

313213001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21337735 (or 21337732 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313213001031 its reverse (130100312313), we get a palindrome (443313313344).

The spelling of 313213001031 in words is "three hundred thirteen billion, two hundred thirteen million, one thousand, thirty-one".

Divisors: 1 3 7 9 21 63 233 699 1631 2097 4893 14679 21337489 64012467 149362423 192037401 448087269 1344261807 4971634937 14914904811 34801444559 44744714433 104404333677 313213001031