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12028441113 = 341347359677
BaseRepresentation
bin10110011001111001…
…10111001000011001
31011001021122010020000
423030330313020121
5144113240103423
65305323123213
7604035030303
oct131474671031
934037563200
1012028441113
115112817927
1223b8373509
1311990120a0
14821702973
154a5edc843
hex2ccf37219

12028441113 has 80 divisors (see below), whose sum is σ = 19846632960. Its totient is φ = 7213774464.

The previous prime is 12028441081. The next prime is 12028441129. The reversal of 12028441113 is 31114482021.

12028441113 is a `hidden beast` number, since 1 + 202 + 8 + 441 + 1 + 13 = 666.

It is not a de Polignac number, because 12028441113 - 25 = 12028441081 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12028443113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17766931 + ... + 17767607.

It is an arithmetic number, because the mean of its divisors is an integer number (248082912).

Almost surely, 212028441113 is an apocalyptic number.

12028441113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12028441113 is a deficient number, since it is larger than the sum of its proper divisors (7818191847).

12028441113 is a wasteful number, since it uses less digits than its factorization.

12028441113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12028441113 in words is "twelve billion, twenty-eight million, four hundred forty-one thousand, one hundred thirteen".

Divisors: 1 3 9 13 27 39 47 81 117 141 351 359 423 611 677 1053 1077 1269 1833 2031 3231 3807 4667 5499 6093 8801 9693 14001 16497 16873 18279 26403 29079 31819 42003 49491 50619 54837 79209 95457 126009 151857 219349 237627 243043 286371 378027 413647 455571 658047 712881 729129 859113 1240941 1366713 1974141 2187387 2577339 3159559 3722823 5922423 6562161 9478677 11168469 11423021 17767269 19686483 28436031 33505407 34269063 85308093 102807189 148499273 255924279 308421567 445497819 925264701 1336493457 4009480371 12028441113