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13303313333112 = 23311331152239693
BaseRepresentation
bin1100000110010110101101…
…0000111111101101111000
31202002210011210001022120210
43001211223100333231320
53220430141203124422
644143242513551120
72542063335400245
oct301455320775570
952083153038523
1013303313333112
1142699a3618220
1215aa3308754a0
1375666008705a
1433dc532145cc
151810b2b7e10c
hexc196b43fb78

13303313333112 has 64 divisors (see below), whose sum is σ = 36391376453760. Its totient is φ = 4019127868800.

The previous prime is 13303313333027. The next prime is 13303313333113. The reversal of 13303313333112 is 21133331330331.

It is a super-2 number, since 2×133033133331122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13303313333112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303313333113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76032463 + ... + 76207230.

It is an arithmetic number, because the mean of its divisors is an integer number (568615257090).

Almost surely, 213303313333112 is an apocalyptic number.

13303313333112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13303313333112 is an abundant number, since it is smaller than the sum of its proper divisors (23088063120648).

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

13303313333112 is a wasteful number, since it uses less digits than its factorization.

13303313333112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152240044 (or 152240040 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 30.

Adding to 13303313333112 its reverse (21133331330331), we get a palindrome (34436644663443).

The spelling of 13303313333112 in words is "thirteen trillion, three hundred three billion, three hundred thirteen million, three hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 331 662 993 1324 1986 2648 3641 3972 7282 7944 10923 14564 21846 29128 43692 87384 152239693 304479386 456719079 608958772 913438158 1217917544 1674636623 1826876316 3349273246 3653752632 5023909869 6698546492 10047819738 13397092984 20095639476 40191278952 50391338383 100782676766 151174015149 201565353532 302348030298 403130707064 554304722213 604696060596 1108609444426 1209392121192 1662914166639 2217218888852 3325828333278 4434437777704 6651656666556 13303313333112