Search a number
-
+
102351185136 = 2432710772119
BaseRepresentation
bin101111101010010011…
…0110010010011110000
3100210012000210220220200
41133110212302103300
53134103400411021
6115004113035200
710252233501444
oct1372446622360
9323160726820
10102351185136
113a452637312
1217a05255b00
139861966555
144d4d414824
1529e086c126
hex17d49b24f0

102351185136 has 30 divisors (see below), whose sum is σ = 286441164360. Its totient is φ = 34117061664.

The previous prime is 102351185107. The next prime is 102351185179. The reversal of 102351185136 is 631581153201.

It is a happy number.

102351185136 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 511 + 8 + 5 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102351185136.

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 5 ways as a sum of consecutive naturals, for example, 355385916 + ... + 355386203.

It is an arithmetic number, because the mean of its divisors is an integer number (9548038812).

Almost surely, 2102351185136 is an apocalyptic number.

102351185136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102351185136 is an abundant number, since it is smaller than the sum of its proper divisors (184089979224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102351185136 is a wasteful number, since it uses less digits than its factorization.

102351185136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710772133 (or 710772124 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 102351185136 in words is "one hundred two billion, three hundred fifty-one million, one hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 710772119 1421544238 2132316357 2843088476 4264632714 5686176952 6396949071 8529265428 11372353904 12793898142 17058530856 25587796284 34117061712 51175592568 102351185136