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116123704200 = 233252711381559
BaseRepresentation
bin110110000100110000…
…0110001101110001000
3102002201212020101022100
41230021200301232020
53400310132013300
6125202501553400
711250440125320
oct1541140615610
9362655211270
10116123704200
114527a892779
121a609715860
13ac480b890a
1458985d4280
153049a18700
hex1b09831b88

116123704200 has 288 divisors, whose sum is σ = 449643542400. Its totient is φ = 26307348480.

The previous prime is 116123704187. The next prime is 116123704259. The reversal of 116123704200 is 2407321611.

116123704200 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 237 + 0 + 420 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1383021 + ... + 1464579.

It is an arithmetic number, because the mean of its divisors is an integer number (1561262300).

Almost surely, 2116123704200 is an apocalyptic number.

116123704200 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 116123704200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224821771200).

116123704200 is an abundant number, since it is smaller than the sum of its proper divisors (333519838200).

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

116123704200 is a wasteful number, since it uses less digits than its factorization.

116123704200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81701 (or 81689 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 116123704200 in words is "one hundred sixteen billion, one hundred twenty-three million, seven hundred four thousand, two hundred".