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13344012100 = 2252133440121
BaseRepresentation
bin11000110110101110…
…10111011101000100
31021102222010001100101
430123113113131010
5204312031341400
610044040253444
7651451142236
oct143327273504
937388101311
1013344012100
11572838a881
122704a71284
13134873c563
14908318256
1553175656a
hex31b5d7744

13344012100 has 18 divisors (see below), whose sum is σ = 28956506474. Its totient is φ = 5337604800.

The previous prime is 13344012067. The next prime is 13344012103. The reversal of 13344012100 is 121044331.

It can be written as a sum of positive squares in 3 ways, for example, as 4213827396 + 9130184704 = 64914^2 + 95552^2 .

It is not an unprimeable number, because it can be changed into a prime (13344012103) 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 5 ways as a sum of consecutive naturals, for example, 66719961 + ... + 66720160.

Almost surely, 213344012100 is an apocalyptic number.

13344012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13344012100 is an abundant number, since it is smaller than the sum of its proper divisors (15612494374).

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

13344012100 is a wasteful number, since it uses less digits than its factorization.

13344012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133440135 (or 133440128 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13344012100 its reverse (121044331), we get a palindrome (13465056431).

The spelling of 13344012100 in words is "thirteen billion, three hundred forty-four million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 133440121 266880242 533760484 667200605 1334401210 2668802420 3336003025 6672006050 13344012100