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313301304004240 = 2453916266300053
BaseRepresentation
bin100011100111100100010010…
…0111011101100111010010000
31112002022022102120002102102001
41013033020210323230322100
5312031112032311113430
63030200344311203344
7122664162244152556
oct10717104473547220
91462268376072361
10313301304004240
11909113783a9172
122b17ba84976554
13105a82560c9576
145751c14c43bd6
152634a44dd63ca
hex11cf224eece90

313301304004240 has 20 divisors (see below), whose sum is σ = 728425531810044. Its totient is φ = 125320521601664.

The previous prime is 313301304004177. The next prime is 313301304004289. The reversal of 313301304004240 is 42400403103313.

It can be written as a sum of positive squares in 2 ways, for example, as 192312215758224 + 120989088246016 = 13867668^2 + 10999504^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3133013040042402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313301304004199 and 313301304004208.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1958133149947 + ... + 1958133150106.

Almost surely, 2313301304004240 is an apocalyptic number.

It is an amenable number.

313301304004240 is an abundant number, since it is smaller than the sum of its proper divisors (415124227805804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313301304004240 is a wasteful number, since it uses less digits than its factorization.

313301304004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916266300066 (or 3916266300060 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 313301304004240 its reverse (42400403103313), we get a palindrome (355701707107553).

The spelling of 313301304004240 in words is "three hundred thirteen trillion, three hundred one billion, three hundred four million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3916266300053 7832532600106 15665065200212 19581331500265 31330130400424 39162663000530 62660260800848 78325326001060 156650652002120 313301304004240