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12221341042113 = 33764663180117
BaseRepresentation
bin1011000111011000000010…
…1100010000010111000001
31121021100102021022001111000
42301312000230100113001
53100213301301321423
641554223452442213
72400651136562130
oct261660054202701
947240367261430
1012221341042113
113992050454895
1214546b2479369
136a8610191618
1430373210b917
15162d89c0b843
hexb1d80b105c1

12221341042113 has 16 divisors (see below), whose sum is σ = 20692217637760. Its totient is φ = 6983623452528.

The previous prime is 12221341042067. The next prime is 12221341042139. The reversal of 12221341042113 is 31124014312221.

12221341042113 is a `hidden beast` number, since 1 + 2 + 2 + 213 + 4 + 10 + 421 + 13 = 666.

It is not a de Polignac number, because 12221341042113 - 230 = 12220267300289 is a prime.

It is a super-2 number, since 2×122213410421132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12221341043113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32331589870 + ... + 32331590247.

It is an arithmetic number, because the mean of its divisors is an integer number (1293263602360).

Almost surely, 212221341042113 is an apocalyptic number.

It is an amenable number.

12221341042113 is a deficient number, since it is larger than the sum of its proper divisors (8470876595647).

12221341042113 is an equidigital number, since it uses as much as digits as its factorization.

12221341042113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64663180133 (or 64663180127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12221341042113 its reverse (31124014312221), we get a palindrome (43345355354334).

The spelling of 12221341042113 in words is "twelve trillion, two hundred twenty-one billion, three hundred forty-one million, forty-two thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 64663180117 193989540351 452642260819 581968621053 1357926782457 1745905863159 4073780347371 12221341042113