Search a number
-
+
13111515442431 = 337120157762779
BaseRepresentation
bin1011111011001100001100…
…1110000110110011111111
31201102110010001110221212000
42332303003032012303333
53204304340423124211
643515202543313343
72522163401254350
oct276630316066377
951373101427760
1013111515442431
1141a562071816a
121579123bab853
13741545123403
1433485a5abd27
1517b0d9829656
hexbecc3386cff

13111515442431 has 32 divisors (see below), whose sum is σ = 22217875699200. Its totient is φ = 7486056028800.

The previous prime is 13111515442429. The next prime is 13111515442477. The reversal of 13111515442431 is 13424451511131.

13111515442431 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 151 + 54 + 424 + 31 = 666.

It is not a de Polignac number, because 13111515442431 - 21 = 13111515442429 is a prime.

It is a super-2 number, since 2×131115154424312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111515442931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28654401 + ... + 29108378.

It is an arithmetic number, because the mean of its divisors is an integer number (694308615600).

Almost surely, 213111515442431 is an apocalyptic number.

13111515442431 is a deficient number, since it is larger than the sum of its proper divisors (9106360256769).

13111515442431 is a wasteful number, since it uses less digits than its factorization.

13111515442431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57763996 (or 57763990 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 13111515442431 its reverse (13424451511131), we get a palindrome (26535966953562).

The spelling of 13111515442431 in words is "thirteen trillion, one hundred eleven billion, five hundred fifteen million, four hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 1201 3603 8407 10809 25221 32427 75663 226989 57762779 173288337 404339453 519865011 1213018359 1559595033 3639055077 10917165231 69373097579 208119292737 485611683053 624357878211 1456835049159 1873073634633 4370505147477 13111515442431