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13243102100 = 2252891487989
BaseRepresentation
bin11000101010101100…
…11011001110010100
31021011221020021211222
430111112123032110
5204110213231400
610030033345512
7646114340054
oct142526331624
937157207758
1013243102100
115686427688
122697108298
13133086a7b7
148d8b6b564
15527972185
hex31559b394

13243102100 has 36 divisors (see below), whose sum is σ = 29060444700. Its totient is φ = 5237717760.

The previous prime is 13243102073. The next prime is 13243102199. The reversal of 13243102100 is 120134231.

13243102100 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 6 ways, for example, as 4265918596 + 8977183504 = 65314^2 + 94748^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 735095 + ... + 752894.

It is an arithmetic number, because the mean of its divisors is an integer number (807234575).

Almost surely, 213243102100 is an apocalyptic number.

13243102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13243102100 is an abundant number, since it is smaller than the sum of its proper divisors (15817342600).

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

13243102100 is a wasteful number, since it uses less digits than its factorization.

13243102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488092 (or 1488085 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13243102100 its reverse (120134231), we get a palindrome (13363236331).

The spelling of 13243102100 in words is "thirteen billion, two hundred forty-three million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 1487989 2975978 5951956 7439945 14879890 29759780 37199725 74399450 132431021 148798900 264862042 529724084 662155105 1324310210 2648620420 3310775525 6621551050 13243102100