Search a number
-
+
117011930112 = 21032711181911
BaseRepresentation
bin110110011111001110…
…1000101110000000000
3102012000202120221012100
41230332131011300000
53404120023230422
6125430551430400
711311443665250
oct1547635056000
9365022527170
10117011930112
1145696202a80
121a817085400
13b05a11c08c
145940567960
15309c9bb7ac
hex1b3e745c00

117011930112 has 528 divisors, whose sum is σ = 424032021504. Its totient is φ = 30191616000.

The previous prime is 117011930093. The next prime is 117011930131. The reversal of 117011930112 is 211039110711.

It is an interprime number because it is at equal distance from previous prime (117011930093) and next prime (117011930131).

It is a tau number, because it is divible by the number of its divisors (528).

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 47 ways as a sum of consecutive naturals, for example, 128442937 + ... + 128443847.

Almost surely, 2117011930112 is an apocalyptic number.

117011930112 is a gapful number since it is divisible by the number (12) 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 117011930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212016010752).

117011930112 is an abundant number, since it is smaller than the sum of its proper divisors (307020091392).

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

117011930112 is a wasteful number, since it uses less digits than its factorization.

117011930112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 27.

The spelling of 117011930112 in words is "one hundred seventeen billion, eleven million, nine hundred thirty thousand, one hundred twelve".