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13320020130012 = 22322287304153201
BaseRepresentation
bin1100000111010100111100…
…0100010111100011011100
31202011101022002211112110100
43001311033010113203130
53221213400123130022
644155044402341100
72543224342001031
oct301651704274334
952141262745410
1013320020130012
114275a97124a92
1215b161395a790
137580c33bc2ab
14340999dad388
1518173e73b1ac
hexc1d4f1178dc

13320020130012 has 72 divisors (see below), whose sum is σ = 33696483492672. Its totient is φ = 4436522496000.

The previous prime is 13320020129993. The next prime is 13320020130017. The reversal of 13320020130012 is 21003102002331.

13320020130012 is a `hidden beast` number, since 1 + 332 + 0 + 0 + 20 + 1 + 300 + 12 = 666.

13320020130012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320020130017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250345012 + ... + 250398212.

It is an arithmetic number, because the mean of its divisors is an integer number (468006715176).

Almost surely, 213320020130012 is an apocalyptic number.

13320020130012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13320020130012 is an abundant number, since it is smaller than the sum of its proper divisors (20376463362660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13320020130012 is a wasteful number, since it uses less digits than its factorization.

13320020130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58539 (or 58534 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13320020130012 its reverse (21003102002331), we get a palindrome (34323122132343).

The spelling of 13320020130012 in words is "thirteen trillion, three hundred twenty billion, twenty million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2287 3041 4574 6082 6861 9123 9148 12164 13722 18246 20583 27369 27444 36492 41166 53201 54738 82332 106402 109476 159603 212804 319206 478809 638412 957618 1915236 6954767 13909534 20864301 27819068 41728602 62592903 83457204 121670687 125185806 161784241 243341374 250371612 323568482 365012061 485352723 486682748 647136964 730024122 970705446 1095036183 1456058169 1460048244 1941410892 2190072366 2912116338 4380144732 5824232676 370000559167 740001118334 1110001677501 1480002236668 2220003355002 3330005032503 4440006710004 6660010065006 13320020130012