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13110340131 = 3577707431
BaseRepresentation
bin11000011010110111…
…11110101000100011
31020211200102021200000
430031123332220203
5203322221341011
610004532031043
7642613023660
oct141533765043
936750367600
1013110340131
115618499649
12265a762483
13130c1c5b15
148c528ca67
1551ae9a356
hex30d6fea23

13110340131 has 24 divisors (see below), whose sum is σ = 22444041984. Its totient is φ = 7491621960.

The previous prime is 13110340121. The next prime is 13110340141. The reversal of 13110340131 is 13104301131.

13110340131 is a `hidden beast` number, since 1 + 311 + 0 + 340 + 13 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13110340121) and next prime (13110340141).

It is not a de Polignac number, because 13110340131 - 27 = 13110340003 is a prime.

It is a super-2 number, since 2×131103401312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13110340121) 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, 3852015 + ... + 3855416.

It is an arithmetic number, because the mean of its divisors is an integer number (935168416).

Almost surely, 213110340131 is an apocalyptic number.

13110340131 is a deficient number, since it is larger than the sum of its proper divisors (9333701853).

13110340131 is an frugal number, since it uses more digits than its factorization.

13110340131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7707453 (or 7707441 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13110340131 its reverse (13104301131), we get a palindrome (26214641262).

The spelling of 13110340131 in words is "thirteen billion, one hundred ten million, three hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 7707431 23122293 53952017 69366879 161856051 208100637 485568153 624301911 1456704459 1872905733 4370113377 13110340131