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12220013201311 = 417930509123661
BaseRepresentation
bin1011000111010011000110…
…0010111100011110011111
31121021012222201201202100001
42301310301202330132133
53100203041334420221
641553444020315131
72400603214245136
oct261646142743637
947235881652301
1012220013201311
1139915299713a3
1214543a1842aa7
136a845b0593c6
14303647a2091d
15162d0d36c391
hexb1d318bc79f

12220013201311 has 16 divisors (see below), whose sum is σ = 12677036803200. Its totient is φ = 11770572153600.

The previous prime is 12220013201267. The next prime is 12220013201323. The reversal of 12220013201311 is 11310231002221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12220013201311 is a prime.

It is a super-2 number, since 2×122200132013112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220013201351) 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, 98756821 + ... + 98880481.

It is an arithmetic number, because the mean of its divisors is an integer number (792314800200).

Almost surely, 212220013201311 is an apocalyptic number.

12220013201311 is a deficient number, since it is larger than the sum of its proper divisors (457023601889).

12220013201311 is a wasteful number, since it uses less digits than its factorization.

12220013201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154290.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12220013201311 its reverse (11310231002221), we get a palindrome (23530244203532).

The spelling of 12220013201311 in words is "twelve trillion, two hundred twenty billion, thirteen million, two hundred one thousand, three hundred eleven".

Divisors: 1 41 79 3239 30509 123661 1250869 2410211 5070101 9769219 98818651 400537979 3772773449 154683711409 298049102471 12220013201311