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331123121321133 = 31712216415314663
BaseRepresentation
bin100101101001001111001110…
…0000001011111010010101101
31121102102001122122112220222010
41023102132130001133102231
5321400110123024234013
63132123510103111433
7126513566424656331
oct11322363401372255
91542361578486863
10331123121321133
1196562588695329
1231179a67442579
131129ba1287882b
145baa631d197c1
152843413db07c3
hex12d279c05f4ad

331123121321133 has 16 divisors (see below), whose sum is σ = 467468406596736. Its totient is φ = 207763317941760.

The previous prime is 331123121321123. The next prime is 331123121321173.

331123121321133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331123121321133 - 241 = 328924098065581 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 331123121321133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331123121321123) 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, 59646360 + ... + 64961022.

It is an arithmetic number, because the mean of its divisors is an integer number (29216775412296).

Almost surely, 2331123121321133 is an apocalyptic number.

It is an amenable number.

331123121321133 is a deficient number, since it is larger than the sum of its proper divisors (136345285275603).

331123121321133 is a wasteful number, since it uses less digits than its factorization.

331123121321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536324.

The product of its digits is 5832, while the sum is 30.

The spelling of 331123121321133 in words is "three hundred thirty-one trillion, one hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 17 51 1221641 3664923 5314663 15943989 20767897 62303691 90349271 271047813 6492610221983 19477830665949 110374373773711 331123121321133