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313213004031 = 31923713364951
BaseRepresentation
bin1001000111011001111…
…00110010100011111111
31002221110100112011210210
410203230330302203333
520112430012112111
6355515453403503
731425465415104
oct4435474624377
91087410464723
10313213004031
11110918636844
1250852499593
13236c738b8a5
1411233cb6aab
1582326880a6
hex48ecf328ff

313213004031 has 32 divisors (see below), whose sum is σ = 465170964480. Its totient is φ = 186552828000.

The previous prime is 313213004023. The next prime is 313213004087. The reversal of 313213004031 is 130400312313.

It is not a de Polignac number, because 313213004031 - 23 = 313213004023 is a prime.

It is a super-2 number, since 2×3132130040312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313213003989 and 313213004007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313213004011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589395 + ... + 1775556.

It is an arithmetic number, because the mean of its divisors is an integer number (14536592640).

Almost surely, 2313213004031 is an apocalyptic number.

313213004031 is a deficient number, since it is larger than the sum of its proper divisors (151957960449).

313213004031 is a wasteful number, since it uses less digits than its factorization.

313213004031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365067.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313213004031 its reverse (130400312313), we get a palindrome (443613316344).

The spelling of 313213004031 in words is "three hundred thirteen billion, two hundred thirteen million, four thousand, thirty-one".

Divisors: 1 3 19 23 57 69 71 213 437 1311 1349 1633 4047 4899 31027 93081 3364951 10094853 63934069 77393873 191802207 232181619 238911521 716734563 1470483587 4411450761 4539318899 5494964983 13617956697 16484894949 104404334677 313213004031