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122130123313 = 11192689217313
BaseRepresentation
bin111000110111110000…
…1011100101000110001
3102200020110101002100111
41301233201130220301
54000110302421223
6132034504221321
711552332630312
oct1615741345061
9380213332314
10122130123313
11478822a8310
121b80516a841
13b6945c1373
145ca81d4609
15329bebd30d
hex1c6f85ca31

122130123313 has 16 divisors (see below), whose sum is σ = 140297918400. Its totient is φ = 105144238080.

The previous prime is 122130123281. The next prime is 122130123337. The reversal of 122130123313 is 313321031221.

It is a cyclic number.

It is not a de Polignac number, because 122130123313 - 25 = 122130123281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122130123373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453345 + ... + 670657.

It is an arithmetic number, because the mean of its divisors is an integer number (8768619900).

Almost surely, 2122130123313 is an apocalyptic number.

It is an amenable number.

122130123313 is a deficient number, since it is larger than the sum of its proper divisors (18167795087).

122130123313 is a wasteful number, since it uses less digits than its factorization.

122130123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220032.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122130123313 its reverse (313321031221), we get a palindrome (435451154534).

The spelling of 122130123313 in words is "one hundred twenty-two billion, one hundred thirty million, one hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 11 19 209 2689 29579 51091 217313 562001 2390443 4128947 45418417 584354657 6427901227 11102738483 122130123313