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120100110000 = 24354131013049
BaseRepresentation
bin110111111011010000…
…1100011111010110000
3102110222222112201121020
41233312201203322300
53431431112010000
6131101230055440
711451123043203
oct1576641437260
9373888481536
10120100110000
1146a30421262
121b33934a580
13b42cb68c60
145b5476593a
1531cdb7cba0
hex1bf6863eb0

120100110000 has 400 divisors, whose sum is σ = 421794357600. Its totient is φ = 29260800000.

The previous prime is 120100109993. The next prime is 120100110019. The reversal of 120100110000 is 11001021.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39388476 + ... + 39391524.

It is an arithmetic number, because the mean of its divisors is an integer number (1054485894).

Almost surely, 2120100110000 is an apocalyptic number.

120100110000 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 120100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210897178800).

120100110000 is an abundant number, since it is smaller than the sum of its proper divisors (301694247600).

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

120100110000 is a wasteful number, since it uses less digits than its factorization.

120100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 120100110000 its reverse (11001021), we get a palindrome (120111111021).

The spelling of 120100110000 in words is "one hundred twenty billion, one hundred million, one hundred ten thousand".