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13320200133 = 3237193207257
BaseRepresentation
bin11000110011111001…
…00001111111000101
31021101022022021110200
430121330201333011
5204234432401013
610041430041113
7651041555502
oct143174417705
937338267420
1013320200133
1157159a6569
1226b8aa9199
131343823036
149050ba4a9
1552e600e73
hex319f21fc5

13320200133 has 24 divisors (see below), whose sum is σ = 19862777688. Its totient is φ = 8595320832.

The previous prime is 13320200107. The next prime is 13320200161. The reversal of 13320200133 is 33100202331.

13320200133 is a `hidden beast` number, since 1 + 332 + 0 + 200 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4070184804 + 9250015329 = 63798^2 + 96177^2 .

It is not a de Polignac number, because 13320200133 - 29 = 13320199621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320200833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39360 + ... + 167897.

It is an arithmetic number, because the mean of its divisors is an integer number (827615737).

Almost surely, 213320200133 is an apocalyptic number.

It is an amenable number.

13320200133 is a deficient number, since it is larger than the sum of its proper divisors (6542577555).

13320200133 is a wasteful number, since it uses less digits than its factorization.

13320200133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207493 (or 207490 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13320200133 its reverse (33100202331), we get a palindrome (46420402464).

The spelling of 13320200133 in words is "thirteen billion, three hundred twenty million, two hundred thousand, one hundred thirty-three".

Divisors: 1 3 9 37 111 193 333 579 1737 7141 21423 64269 207257 621771 1865313 7668509 23005527 40000601 69016581 120001803 360005409 1480022237 4440066711 13320200133