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12144223310013 = 332361320588773
BaseRepresentation
bin1011000010111000110000…
…0111011101000010111101
31120222222100210200100202000
42300232030013131002331
53042432332131410023
641454551300052513
72362251113636004
oct260561407350275
946888323610660
1012144223310013
1139623775062a3
12144176b994139
136a127022c492
142ddad808dc3b
15160d747c8243
hexb0b8c1dd0bd

12144223310013 has 32 divisors (see below), whose sum is σ = 19081443828480. Its totient is φ = 7617189222720.

The previous prime is 12144223309993. The next prime is 12144223310083. The reversal of 12144223310013 is 31001332244121.

12144223310013 is a `hidden beast` number, since 1 + 214 + 422 + 3 + 3 + 10 + 0 + 13 = 666.

12144223310013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12144223310013 - 210 = 12144223308989 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144223310083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160256506 + ... + 160332267.

It is an arithmetic number, because the mean of its divisors is an integer number (596295119640).

Almost surely, 212144223310013 is an apocalyptic number.

It is an amenable number.

12144223310013 is a deficient number, since it is larger than the sum of its proper divisors (6937220518467).

12144223310013 is a wasteful number, since it uses less digits than its factorization.

12144223310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320588866 (or 320588860 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12144223310013 its reverse (31001332244121), we get a palindrome (43145555554134).

The spelling of 12144223310013 in words is "twelve trillion, one hundred forty-four billion, two hundred twenty-three million, three hundred ten thousand, thirteen".

Divisors: 1 3 9 23 27 61 69 183 207 549 621 1403 1647 4209 12627 37881 320588773 961766319 2885298957 7373541779 8655896871 19555915153 22120625337 58667745459 66361876011 176003236377 199085628033 449786048519 528009709131 1349358145557 4048074436671 12144223310013