Search a number
-
+
313043414100012 = 22328695650391667
BaseRepresentation
bin100011100101101100001100…
…1011111110010100000101100
31112001101122202202201220101200
41013023120121133302200230
5312012400403002200022
63025442054211405500
7122636432425143561
oct10713303137624054
91461348682656350
10313043414100012
1190821a6a264112
122b139ab1bb3890
1310589b375643bb
14574354c626868
15262ce9e5bcbac
hex11cb6197f282c

313043414100012 has 18 divisors (see below), whose sum is σ = 791304185641788. Its totient is φ = 104347804699992.

The previous prime is 313043414099993. The next prime is 313043414100101. The reversal of 313043414100012 is 210001414340313.

313043414100012 is a `hidden beast` number, since 3 + 1 + 304 + 341 + 4 + 1 + 0 + 0 + 0 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×3130434141000123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4347825195798 + ... + 4347825195869.

It is an arithmetic number, because the mean of its divisors is an integer number (43961343646766).

Almost surely, 2313043414100012 is an apocalyptic number.

It is an amenable number.

313043414100012 is an abundant number, since it is smaller than the sum of its proper divisors (478260771541776).

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

313043414100012 is a wasteful number, since it uses less digits than its factorization.

313043414100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8695650391677 (or 8695650391672 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 313043414100012 its reverse (210001414340313), we get a palindrome (523044828440325).

The spelling of 313043414100012 in words is "three hundred thirteen trillion, forty-three billion, four hundred fourteen million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 8695650391667 17391300783334 26086951175001 34782601566668 52173902350002 78260853525003 104347804700004 156521707050006 313043414100012