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118130112000 = 293253673061
BaseRepresentation
bin110111000000100011…
…0100111011000000000
3102021220200122110101100
41232001012213120000
53413412302041000
6130133534134400
711351242245615
oct1560106473000
9367820573340
10118130112000
114610a40663a
121aa89651400
13b1a7997774
145a08c7a50c
153115c44a00
hex1b811a7600

118130112000 has 480 divisors, whose sum is σ = 431974075104. Its totient is φ = 31021056000.

The previous prime is 118130111959. The next prime is 118130112007. The reversal of 118130112000 is 211031811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1181301120002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118130112007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38590470 + ... + 38593530.

Almost surely, 2118130112000 is an apocalyptic number.

118130112000 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 118130112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215987037552).

118130112000 is an abundant number, since it is smaller than the sum of its proper divisors (313843963104).

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

118130112000 is an equidigital number, since it uses as much as digits as its factorization.

118130112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 118130112000 its reverse (211031811), we get a palindrome (118341143811).

The spelling of 118130112000 in words is "one hundred eighteen billion, one hundred thirty million, one hundred twelve thousand".