Search a number
-
+
116118279900 = 223252747392159
BaseRepresentation
bin110110000100100110…
…0000101011011011100
3102002201111000210120100
41230021030011123130
53400302234424100
6125202145421100
711250343044120
oct1541114053334
9362644023510
10116118279900
1145277818387
121a60793a790
13ac46c3997c
1458979c1580
1530492e6400
hex1b093056dc

116118279900 has 216 divisors, whose sum is σ = 424812810240. Its totient is φ = 25976545920.

The previous prime is 116118279889. The next prime is 116118279913. The reversal of 116118279900 is 9972811611.

It is a happy number.

116118279900 is a `hidden beast` number, since 1 + 1 + 611 + 8 + 27 + 9 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 100021 + ... + 492179.

Almost surely, 2116118279900 is an apocalyptic number.

116118279900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116118279900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212406405120).

116118279900 is an abundant number, since it is smaller than the sum of its proper divisors (308694530340).

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

116118279900 is a wasteful number, since it uses less digits than its factorization.

116118279900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392233 (or 392223 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 116118279900 in words is "one hundred sixteen billion, one hundred eighteen million, two hundred seventy-nine thousand, nine hundred".