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12041145007177 = 1113175573888779
BaseRepresentation
bin1010111100111000110000…
…1010111011110001001001
31120122010022002200000212011
42233032030022323301021
53034240231110212202
641335343050215521
72351641540550446
oct257161412736111
946563262600764
1012041145007177
113922691498770
1214257a31245a1
13694623a50790
142d8b1a2829cd
1515d3401cdbd7
hexaf38c2bbc49

12041145007177 has 32 divisors (see below), whose sum is σ = 14981076593280. Its totient is φ = 9508360350720.

The previous prime is 12041145007127. The next prime is 12041145007181. The reversal of 12041145007177 is 77170054114021.

It is not a de Polignac number, because 12041145007177 - 223 = 12041136618569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12041145007127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13103574 + ... + 13992352.

It is an arithmetic number, because the mean of its divisors is an integer number (468158643540).

Almost surely, 212041145007177 is an apocalyptic number.

12041145007177 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12041145007177 is a deficient number, since it is larger than the sum of its proper divisors (2939931586103).

12041145007177 is a wasteful number, since it uses less digits than its factorization.

12041145007177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894393.

The product of its (nonzero) digits is 54880, while the sum is 40.

The spelling of 12041145007177 in words is "twelve trillion, forty-one billion, one hundred forty-five million, seven thousand, one hundred seventy-seven".

Divisors: 1 11 13 17 143 187 221 2431 5573 61303 72449 94741 796939 888779 1042151 1231633 9776569 11554127 13547963 15109243 127095397 166201673 196420159 2160621749 4953165367 54484819037 64391149771 84203811239 708302647481 926241923629 1094649546107 12041145007177