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13303230012 = 22323135333769
BaseRepresentation
bin11000110001110111…
…10010111000111100
31021100010101002211200
430120323302320330
5204221111330022
610040022215500
7650444406102
oct143073627074
937303332750
1013303230012
115707365676
1226b3284590
131340160a47
14902b3dc72
1552cd9cbac
hex318ef2e3c

13303230012 has 72 divisors (see below), whose sum is σ = 34811736960. Its totient is φ = 4279080960.

The previous prime is 13303230007. The next prime is 13303230013. The reversal of 13303230012 is 21003230331.

13303230012 is a `hidden beast` number, since 1 + 330 + 32 + 300 + 1 + 2 = 666.

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 (13303230013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377064 + ... + 410832.

Almost surely, 213303230012 is an apocalyptic number.

13303230012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13303230012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17405868480).

13303230012 is an abundant number, since it is smaller than the sum of its proper divisors (21508506948).

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

13303230012 is a wasteful number, since it uses less digits than its factorization.

13303230012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34163 (or 34158 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13303230012 its reverse (21003230331), we get a palindrome (34306460343).

The spelling of 13303230012 in words is "thirteen billion, three hundred three million, two hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 353 372 558 706 1059 1116 1412 2118 3177 4236 6354 10943 12708 21886 32829 33769 43772 65658 67538 98487 101307 131316 135076 196974 202614 303921 393948 405228 607842 1046839 1215684 2093678 3140517 4187356 6281034 9421551 11920457 12562068 18843102 23840914 35761371 37686204 47681828 71522742 107284113 143045484 214568226 369534167 429136452 739068334 1108602501 1478136668 2217205002 3325807503 4434410004 6651615006 13303230012