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13140231101 is a prime number
BaseRepresentation
bin11000011110011100…
…00000001110111101
31020220202122220100222
430033032000032331
5203402344343401
610011520431125
7643425056444
oct141716001675
936822586328
1013140231101
115633355128
1226687784a5
13131546029a
148c922dd5b
1551d901c1b
hex30f3803bd

13140231101 has 2 divisors, whose sum is σ = 13140231102. Its totient is φ = 13140231100.

The previous prime is 13140231043. The next prime is 13140231127. The reversal of 13140231101 is 10113204131.

13140231101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11716980025 + 1423251076 = 108245^2 + 37726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13140231101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13140231101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13140231161) 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 as a sum of consecutive naturals, namely, 6570115550 + 6570115551.

It is an arithmetic number, because the mean of its divisors is an integer number (6570115551).

Almost surely, 213140231101 is an apocalyptic number.

It is an amenable number.

13140231101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13140231101 is an equidigital number, since it uses as much as digits as its factorization.

13140231101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13140231101 its reverse (10113204131), we get a palindrome (23253435232).

The spelling of 13140231101 in words is "thirteen billion, one hundred forty million, two hundred thirty-one thousand, one hundred one".