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13331312112 = 2431571769017
BaseRepresentation
bin11000110101001101…
…11010110111110000
31021102002012211020110
430122212322313300
5204300303441422
610042504141320
7651235166106
oct143246726760
937362184213
1013331312112
1157211a6118
122700767840
131345c13a81
1490676dc76
1553059860c
hex31a9badf0

13331312112 has 40 divisors (see below), whose sum is σ = 34658600656. Its totient is φ = 4415463936.

The previous prime is 13331312107. The next prime is 13331312117. The reversal of 13331312112 is 21121313331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13331312107) and next prime (13331312117).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331312117) 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 7 ways as a sum of consecutive naturals, for example, 876973 + ... + 892044.

Almost surely, 213331312112 is an apocalyptic number.

13331312112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13331312112 is an abundant number, since it is smaller than the sum of its proper divisors (21327288544).

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

13331312112 is a wasteful number, since it uses less digits than its factorization.

13331312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769185 (or 1769179 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 13331312112 its reverse (21121313331), we get a palindrome (34452625443).

The spelling of 13331312112 in words is "thirteen billion, three hundred thirty-one million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 471 628 942 1256 1884 2512 3768 7536 1769017 3538034 5307051 7076068 10614102 14152136 21228204 28304272 42456408 84912816 277735669 555471338 833207007 1110942676 1666414014 2221885352 3332828028 4443770704 6665656056 13331312112