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13342560100 = 2252115512
BaseRepresentation
bin11000110110100011…
…10100111101100100
31021102212101021120121
430123101310331210
5204311143410400
610043545211324
7651432614062
oct143321647544
937385337517
1013342560100
115727588981
122704490b44
13134835169c
1490805b032
1553156b21a
hex31b474f64

13342560100 has 27 divisors (see below), whose sum is σ = 28955862201. Its totient is φ = 5336562000.

The previous prime is 13342560097. The next prime is 13342560103. The reversal of 13342560100 is 106524331.

The square root of 13342560100 is 115510.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (13342560097) and next prime (13342560103).

It can be written as a sum of positive squares in only one way, i.e., 4803321636 + 8539238464 = 69306^2 + 92408^2 .

It is a super-2 number, since 2×133425601002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13342560103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1149325 + ... + 1160875.

Almost surely, 213342560100 is an apocalyptic number.

13342560100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13342560100 is the 115510-th square number.

It is an amenable number.

13342560100 is an abundant number, since it is smaller than the sum of its proper divisors (15613302101).

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

13342560100 is an frugal number, since it uses more digits than its factorization.

13342560100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23116 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Multiplying 13342560100 by its sum of digits (25), we get a square (333564002500 = 5775502).

13342560100 divided by its sum of digits (25) gives a square (533702404 = 231022).

The spelling of 13342560100 in words is "thirteen billion, three hundred forty-two million, five hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11551 23102 46204 57755 115510 231020 288775 577550 1155100 133425601 266851202 533702404 667128005 1334256010 2668512020 3335640025 6671280050 13342560100