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313312301434431 = 32132252817814783
BaseRepresentation
bin100011100111101001011010…
…0011011100100011000111111
31112002100100210222200202112100
41013033102310123210120333
5312031302043131400211
63030205403444240143
7122665031622603345
oct10717226433443077
91462310728622470
10313312301434431
1190916001141252
122b1820339a0053
13105a92b9634300
145752579645995
152634e8a619156
hex11cf4b46e463f

313312301434431 has 36 divisors (see below), whose sum is σ = 490055113861248. Its totient is φ = 192806570840832.

The previous prime is 313312301434427. The next prime is 313312301434471. The reversal of 313312301434431 is 134434103213313.

313312301434431 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 1 + 2 + 301 + 4 + 344 + 3 + 1 = 666.

It is not a de Polignac number, because 313312301434431 - 22 = 313312301434427 is a prime.

It is a super-2 number, since 2×3133123014344312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313312301434471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384127266 + ... + 384942048.

Almost surely, 2313312301434431 is an apocalyptic number.

313312301434431 is a deficient number, since it is larger than the sum of its proper divisors (176742812426817).

313312301434431 is a wasteful number, since it uses less digits than its factorization.

313312301434431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067632 (or 1067616 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 313312301434431 its reverse (134434103213313), we get a palindrome (447746404647744).

The spelling of 313312301434431 in words is "three hundred thirteen trillion, three hundred twelve billion, three hundred one million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 252817 758451 814783 2275353 2444349 3286621 7333047 9859863 10592179 29579589 31776537 42726073 95329611 128178219 137698327 384534657 413094981 1239284943 205990993711 617972981133 1853918943399 2677882918243 8033648754729 24100946264187 34812477937159 104437433811477 313312301434431