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13213203201 = 32114710332749
BaseRepresentation
bin11000100111001000…
…10111101100000001
31021002211222021021100
430103210113230001
5204030040000301
610023044445013
7645302242212
oct142344275401
937084867240
1013213203201
115670566150
1226890a9769
1313275cc843
148d4bc7409
15525018286
hex313917b01

13213203201 has 48 divisors (see below), whose sum is σ = 21292128000. Its totient is φ = 7827183360.

The previous prime is 13213203197. The next prime is 13213203217. The reversal of 13213203201 is 10230231231.

13213203201 is a `hidden beast` number, since 1 + 3 + 21 + 320 + 320 + 1 = 666.

It is not a de Polignac number, because 13213203201 - 22 = 13213203197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13213203221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4805175 + ... + 4807923.

It is an arithmetic number, because the mean of its divisors is an integer number (443586000).

Almost surely, 213213203201 is an apocalyptic number.

13213203201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13213203201 is a deficient number, since it is larger than the sum of its proper divisors (8078924799).

13213203201 is a wasteful number, since it uses less digits than its factorization.

13213203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13213203201 its reverse (10230231231), we get a palindrome (23443434432).

The spelling of 13213203201 in words is "thirteen billion, two hundred thirteen million, two hundred three thousand, two hundred one".

Divisors: 1 3 9 11 33 47 99 141 423 517 1033 1551 2749 3099 4653 8247 9297 11363 24741 30239 34089 48551 90717 102267 129203 145653 272151 387609 436959 534061 1162827 1421233 1602183 2839717 4263699 4806549 8519151 12791097 25557453 31236887 93710661 133466699 281131983 400400097 1201200291 1468133689 4404401067 13213203201