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13303321323012 = 223571955220653
BaseRepresentation
bin1100000110010110101110…
…1111011110011000000100
31202002210012100002020200000
43001211223233132120010
53220430200224314022
644143243401121300
72542063463325360
oct301455357363004
952083170066600
1013303321323012
1142699a8085146
1215aa333489230
137566619239c6
1433dc542d42a0
151810b370b6ac
hexc196bbde604

13303321323012 has 72 divisors (see below), whose sum is σ = 39855217811136. Its totient is φ = 3800948947488.

The previous prime is 13303321323007. The next prime is 13303321323031. The reversal of 13303321323012 is 21032312330331.

13303321323012 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 321 + 32 + 301 + 2 = 666.

13303321323012 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977603523 + ... + 977617130.

Almost surely, 213303321323012 is an apocalyptic number.

13303321323012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13303321323012 is an abundant number, since it is smaller than the sum of its proper divisors (26551896488124).

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

13303321323012 is a wasteful number, since it uses less digits than its factorization.

13303321323012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955220679 (or 1955220665 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13303321323012 its reverse (21032312330331), we get a palindrome (34335633653343).

It can be divided in two parts, 133033213 and 23012, that added together give a square (133056225 = 115352).

The spelling of 13303321323012 in words is "thirteen trillion, three hundred three billion, three hundred twenty-one million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 1955220653 3910441306 5865661959 7820882612 11731323918 13686544571 17596985877 23462647836 27373089142 35193971754 41059633713 52790957631 54746178284 70387943508 82119267426 105581915262 123178901139 158372872893 164238534852 211163830524 246357802278 316745745786 369536703417 475118618679 492715604556 633491491572 739073406834 950237237358 1108610110251 1478146813668 1900474474716 2217220220502 3325830330753 4434440441004 6651660661506 13303321323012