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13202540300 = 2252481327431
BaseRepresentation
bin11000100101110111…
…01100011100001100
31021002002220112112002
430102323230130030
5204014322242200
610022024131432
7645112512065
oct142273543414
937062815462
1013202540300
115665542a34
122685606b78
131325338331
148d360d56c
1552410dbd5
hex312eec70c

13202540300 has 36 divisors (see below), whose sum is σ = 28656509616. Its totient is φ = 5279726400.

The previous prime is 13202540269. The next prime is 13202540359. The reversal of 13202540300 is 304520231.

It is a happy number.

13202540300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 467585 + ... + 495015.

It is an arithmetic number, because the mean of its divisors is an integer number (796014156).

Almost surely, 213202540300 is an apocalyptic number.

13202540300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13202540300 is an abundant number, since it is smaller than the sum of its proper divisors (15453969316).

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

13202540300 is a wasteful number, since it uses less digits than its factorization.

13202540300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32258 (or 32251 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 13202540300 in words is "thirteen billion, two hundred two million, five hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4813 9626 19252 24065 27431 48130 54862 96260 109724 120325 137155 240650 274310 481300 548620 685775 1371550 2743100 132025403 264050806 528101612 660127015 1320254030 2640508060 3300635075 6601270150 13202540300