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3431130311343 = 37712301227573
BaseRepresentation
bin110001111011011111010…
…011011010101010101111
3110011000100101000022111010
4301323133103122222233
5422203423324430333
611144123422200303
7502614415303230
oct61733723325257
913130311008433
103431130311343
11110315267a809
12474b86723093
131bb7287678c7
14bc0d3693087
155e3b90d8563
hex31edf4daaaf

3431130311343 has 16 divisors (see below), whose sum is σ = 5302028330496. Its totient is φ = 1933031160480.

The previous prime is 3431130311327. The next prime is 3431130311347.

3431130311343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3431130311343 - 24 = 3431130311327 is a prime.

It is a super-2 number, since 2×34311303113432 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3431130311343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431130311347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150612296 + ... + 1150615277.

It is an arithmetic number, because the mean of its divisors is an integer number (331376770656).

Almost surely, 23431130311343 is an apocalyptic number.

3431130311343 is a deficient number, since it is larger than the sum of its proper divisors (1870898019153).

3431130311343 is a wasteful number, since it uses less digits than its factorization.

3431130311343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301227654.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 3431130 and 311343, that added together give a palindrome (3742473).

The spelling of 3431130311343 in words is "three trillion, four hundred thirty-one billion, one hundred thirty million, three hundred eleven thousand, three hundred forty-three".

Divisors: 1 3 7 21 71 213 497 1491 2301227573 6903682719 16108593011 48325779033 163387157683 490161473049 1143710103781 3431130311343