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123121131313 = 1790721133779
BaseRepresentation
bin111001010101010010…
…1110101111100110001
3102202210112010111202111
41302222211311330301
54004123002200223
6132321105045321
711616025230415
oct1625245657461
9382715114674
10123121131313
114824073a294
121ba41026841
13b7c1a0072b
145d5da80d45
153308ec530d
hex1caa975f31

123121131313 has 16 divisors (see below), whose sum is σ = 130603596480. Its totient is φ = 115665555456.

The previous prime is 123121131277. The next prime is 123121131359. The reversal of 123121131313 is 313131121321.

It is a cyclic number.

It is not a de Polignac number, because 123121131313 - 221 = 123119034161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123121137313) 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, 32578458 + ... + 32582236.

It is an arithmetic number, because the mean of its divisors is an integer number (8162724780).

Almost surely, 2123121131313 is an apocalyptic number.

It is an amenable number.

123121131313 is a deficient number, since it is larger than the sum of its proper divisors (7482465167).

123121131313 is a wasteful number, since it uses less digits than its factorization.

123121131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816.

The product of its digits is 324, while the sum is 22.

Adding to 123121131313 its reverse (313131121321), we get a palindrome (436252252634).

The spelling of 123121131313 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 17 907 2113 3779 15419 35921 64243 1916491 3427553 7985027 32580347 58268401 135745459 7242419489 123121131313