Search a number
-
+
151123135135 = 5722377259499
BaseRepresentation
bin1000110010111110100…
…1000000101010011111
3112110002000211200122011
42030233221000222133
54434000010311020
6153231445132051
713626654311500
oct2145751005237
9473060750564
10151123135135
1159100085205
12253569ba027
131133517056b
1474589d2ba7
153de74d535a
hex232fa40a9f

151123135135 has 24 divisors (see below), whose sum is σ = 211045122000. Its totient is φ = 103583297664.

The previous prime is 151123135117. The next prime is 151123135157. The reversal of 151123135135 is 531531321151.

151123135135 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 151123135135 - 29 = 151123134623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 151123135097 and 151123135106.

It is a congruent number.

It is an unprimeable number.

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, 452616 + ... + 712114.

It is an arithmetic number, because the mean of its divisors is an integer number (8793546750).

Almost surely, 2151123135135 is an apocalyptic number.

151123135135 is a deficient number, since it is larger than the sum of its proper divisors (59921986865).

151123135135 is a wasteful number, since it uses less digits than its factorization.

151123135135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261895 (or 261888 counting only the distinct ones).

The product of its digits is 6750, while the sum is 31.

Adding to 151123135135 its reverse (531531321151), we get a palindrome (682654456286).

The spelling of 151123135135 in words is "one hundred fifty-one billion, one hundred twenty-three million, one hundred thirty-five thousand, one hundred thirty-five".

Divisors: 1 5 7 35 49 245 2377 11885 16639 83195 116473 259499 582365 1297495 1816493 9082465 12715451 63577255 616829123 3084145615 4317803861 21589019305 30224627027 151123135135