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101100110000 = 245410110011
BaseRepresentation
bin101111000101000001…
…0010100000010110000
3100122221211200201110112
41132022002110002300
53124023112010000
6114240022120452
710206232520201
oct1361202240260
9318854621415
10101100110000
113997041601a
1217716280128
1396c26cb4c6
144c711cb5a8
15296aae3235
hex178a0940b0

101100110000 has 50 divisors (see below), whose sum is σ = 244773500532. Its totient is φ = 40440040000.

The previous prime is 101100109993. The next prime is 101100110009. The reversal of 101100110000 is 11001101.

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (101100110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5045006 + ... + 5065005.

Almost surely, 2101100110000 is an apocalyptic number.

101100110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100110000 is an abundant number, since it is smaller than the sum of its proper divisors (143673390532).

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

101100110000 is an equidigital number, since it uses as much as digits as its factorization.

101100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110039 (or 10110018 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101100110000 its reverse (11001101), we get a palindrome (101111111101).

The spelling of 101100110000 in words is "one hundred one billion, one hundred million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 10110011 20220022 40440044 50550055 80880088 101100110 161760176 202200220 252750275 404400440 505500550 808800880 1011001100 1263751375 2022002200 2527502750 4044004400 5055005500 6318756875 10110011000 12637513750 20220022000 25275027500 50550055000 101100110000