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12221313333131 = 7371949555843
BaseRepresentation
bin1011000111010111111100…
…0010100011011110001011
31121021100100100011021220102
42301311333002203132023
53100213222203130011
641554221022520015
72400650352215000
oct261657702433613
947240310137812
1012221313333131
113992036849701
1214546a513600b
136a860750c386
1430372c5778a7
15162d8758673b
hexb1d7f0a378b

12221313333131 has 16 divisors (see below), whose sum is σ = 14272083072000. Its totient is φ = 10460841799464.

The previous prime is 12221313333113. The next prime is 12221313333133. The reversal of 12221313333131 is 13133331312221.

It is a de Polignac number, because none of the positive numbers 2k-12221313333131 is a prime.

It is a super-2 number, since 2×122213133331312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12221313333094 and 12221313333103.

It is not an unprimeable number, because it can be changed into a prime (12221313333133) 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, 24531305 + ... + 25024538.

It is an arithmetic number, because the mean of its divisors is an integer number (892005192000).

Almost surely, 212221313333131 is an apocalyptic number.

12221313333131 is a deficient number, since it is larger than the sum of its proper divisors (2050769738869).

12221313333131 is an frugal number, since it uses more digits than its factorization.

12221313333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49556583 (or 49556569 counting only the distinct ones).

The product of its digits is 5832, while the sum is 29.

Adding to 12221313333131 its reverse (13133331312221), we get a palindrome (25354644645352).

The spelling of 12221313333131 in words is "twelve trillion, two hundred twenty-one billion, three hundred thirteen million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 7 49 343 719 5033 35231 246617 49555843 346890901 2428236307 16997654149 35630651117 249414557819 1745901904733 12221313333131