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13334310100 = 2252133343101
BaseRepresentation
bin11000110101100100…
…10110110011010100
31021102021212010201001
430122302112303110
5204302040410400
610043052313044
7651302523436
oct143262266324
937367763631
1013334310100
1157229635a1
122701772784
131346723527
14906d10656
1553098ba6a
hex31ac96cd4

13334310100 has 18 divisors (see below), whose sum is σ = 28935453134. Its totient is φ = 5333724000.

The previous prime is 13334310091. The next prime is 13334310107. The reversal of 13334310100 is 101343331.

13334310100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 986211216 + 12348098884 = 31404^2 + 111122^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334310107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66671451 + ... + 66671650.

Almost surely, 213334310100 is an apocalyptic number.

13334310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13334310100 is an abundant number, since it is smaller than the sum of its proper divisors (15601143034).

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

13334310100 is a wasteful number, since it uses less digits than its factorization.

13334310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133343115 (or 133343108 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13334310100 its reverse (101343331), we get a palindrome (13435653431).

The spelling of 13334310100 in words is "thirteen billion, three hundred thirty-four million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 133343101 266686202 533372404 666715505 1333431010 2666862020 3333577525 6667155050 13334310100