Search a number
-
+
15055242135 = 351923299859
BaseRepresentation
bin11100000010101110…
…01100001110010111
31102212020002112122120
432001113030032113
5221313120222020
610525530031023
71042040306133
oct160127141627
942766075576
1015055242135
11642632327a
122b01b78473
13155c11b4cb
14a2b6c43c3
155d1ac7740
hex3815cc397

15055242135 has 48 divisors (see below), whose sum is σ = 26506838400. Its totient is φ = 7276053312.

The previous prime is 15055242131. The next prime is 15055242151. The reversal of 15055242135 is 53124255051.

15055242135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15055242135 - 22 = 15055242131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 15055242096 and 15055242105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15055242131) 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 47 ways as a sum of consecutive naturals, for example, 100836 + ... + 200694.

It is an arithmetic number, because the mean of its divisors is an integer number (552225800).

Almost surely, 215055242135 is an apocalyptic number.

15055242135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15055242135 is a deficient number, since it is larger than the sum of its proper divisors (11451596265).

15055242135 is a wasteful number, since it uses less digits than its factorization.

15055242135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99932 (or 99909 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

Adding to 15055242135 its reverse (53124255051), we get a palindrome (68179497186).

The spelling of 15055242135 in words is "fifteen billion, fifty-five million, two hundred forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 15 19 23 57 69 95 115 285 345 437 529 1311 1587 2185 2645 6555 7935 10051 30153 50255 99859 150765 299577 499295 1497885 1897321 2296757 5691963 6890271 9486605 11483785 28459815 34451355 43638383 52825411 130915149 158476233 218191915 264127055 654575745 792381165 1003682809 3011048427 5018414045 15055242135