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13342151112 = 2334322215821
BaseRepresentation
bin11000110110100000…
…10001000111001000
31021102211121111112220
430123100101013020
5204311042313422
610043532334040
7651426261513
oct143320210710
937384544486
1013342151112
115727329674
122704314320
13134823a494
14907d91d7a
155314d9e5c
hex31b4111c8

13342151112 has 64 divisors (see below), whose sum is σ = 34152317760. Its totient is φ = 4341254400.

The previous prime is 13342151099. The next prime is 13342151113. The reversal of 13342151112 is 21115124331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13342151113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2289162 + ... + 2294982.

It is an arithmetic number, because the mean of its divisors is an integer number (533629965).

Almost surely, 213342151112 is an apocalyptic number.

13342151112 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 13342151112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076158880).

13342151112 is an abundant number, since it is smaller than the sum of its proper divisors (20810166648).

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

13342151112 is a wasteful number, since it uses less digits than its factorization.

13342151112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094 (or 8090 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

Adding to 13342151112 its reverse (21115124331), we get a palindrome (34457275443).

The spelling of 13342151112 in words is "thirteen billion, three hundred forty-two million, one hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 2221 4442 5821 6663 8884 11642 13326 17463 17768 23284 26652 34926 46568 53304 69852 95503 139704 191006 250303 286509 382012 500606 573018 750909 764024 1001212 1146036 1501818 2002424 2292072 3003636 6007272 12928441 25856882 38785323 51713764 77570646 103427528 155141292 310282584 555922963 1111845926 1667768889 2223691852 3335537778 4447383704 6671075556 13342151112