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13200817407 = 317325979423
BaseRepresentation
bin11000100101101010…
…00111110011111111
31021001222200000011020
430102311013303333
5204013402124112
610021523155223
7645062045061
oct142265076377
937058600136
1013200817407
115664576558
122684b15b13
131324b8407b
148d32c1731
15523dbd48c
hex312d47cff

13200817407 has 16 divisors (see below), whose sum is σ = 18642401280. Its totient is φ = 8280220032.

The previous prime is 13200817391. The next prime is 13200817457. The reversal of 13200817407 is 70471800231.

It is a happy number.

It is not a de Polignac number, because 13200817407 - 24 = 13200817391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200817457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126498 + ... + 205920.

It is an arithmetic number, because the mean of its divisors is an integer number (1165150080).

Almost surely, 213200817407 is an apocalyptic number.

13200817407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13200817407 is a deficient number, since it is larger than the sum of its proper divisors (5441583873).

13200817407 is a wasteful number, since it uses less digits than its factorization.

13200817407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82702.

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 13200817407 in words is "thirteen billion, two hundred million, eight hundred seventeen thousand, four hundred seven".

Divisors: 1 3 17 51 3259 9777 55403 79423 166209 238269 1350191 4050573 258839557 776518671 4400272469 13200817407