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13120332201 = 323739400397
BaseRepresentation
bin11000011100000100…
…00110000110101001
31020212101012221012200
430032002012012221
5203332301112301
610005530130413
7643063661244
oct141602060651
936771187180
1013120332201
1156230a3859
122661b80a09
1313112b3ba2
148c673025b
1551bcc0c86
hex30e0861a9

13120332201 has 12 divisors (see below), whose sum is σ = 19463796612. Its totient is φ = 8510485536.

The previous prime is 13120332191. The next prime is 13120332227. The reversal of 13120332201 is 10223302131.

13120332201 is a `hidden beast` number, since 1 + 312 + 0 + 332 + 20 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12471305625 + 649026576 = 111675^2 + 25476^2 .

It is not a de Polignac number, because 13120332201 - 27 = 13120332073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13120332241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19699866 + ... + 19700531.

It is an arithmetic number, because the mean of its divisors is an integer number (1621983051).

Almost surely, 213120332201 is an apocalyptic number.

It is an amenable number.

13120332201 is a deficient number, since it is larger than the sum of its proper divisors (6343464411).

13120332201 is a wasteful number, since it uses less digits than its factorization.

13120332201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39400440 (or 39400437 counting only the distinct ones).

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

Adding to 13120332201 its reverse (10223302131), we get a palindrome (23343634332).

The spelling of 13120332201 in words is "thirteen billion, one hundred twenty million, three hundred thirty-two thousand, two hundred one".

Divisors: 1 3 9 37 111 333 39400397 118201191 354603573 1457814689 4373444067 13120332201