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13201020197 = 294091112977
BaseRepresentation
bin11000100101101011…
…11001010100100101
31021002000001022022222
430102311321110211
5204013430121242
610021531402125
7645063551231
oct142265712445
937060038288
1013201020197
1156646a4952
122684bb3345
131324c25471
148d33355c1
15523e0d5d2
hex312d79525

13201020197 has 8 divisors (see below), whose sum is σ = 13689629400. Its totient is φ = 12714637824.

The previous prime is 13201020181. The next prime is 13201020211. The reversal of 13201020197 is 79102010231.

13201020197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3947734561 + 9253285636 = 62831^2 + 96194^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13201020197 - 24 = 13201020181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201020137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 544628 + ... + 568349.

It is an arithmetic number, because the mean of its divisors is an integer number (1711203675).

Almost surely, 213201020197 is an apocalyptic number.

It is an amenable number.

13201020197 is a deficient number, since it is larger than the sum of its proper divisors (488609203).

13201020197 is a wasteful number, since it uses less digits than its factorization.

13201020197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113415.

The product of its (nonzero) digits is 756, while the sum is 26.

The spelling of 13201020197 in words is "thirteen billion, two hundred one million, twenty thousand, one hundred ninety-seven".

Divisors: 1 29 409 11861 1112977 32276333 455207593 13201020197