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1100110100110 = 25717924462269
BaseRepresentation
bin10000000000100011101…
…010111111011010001110
310220011120120020102200121
4100000203222333122032
5121011011141200420
62201214505215154
7142323516364060
oct20004352773216
93804516212617
101100110100110
1139461052091a
121592607914ba
137c980847078
143b361d67730
151d93a49d2aa
hex10023abf68e

1100110100110 has 32 divisors (see below), whose sum is σ = 2396206203840. Its totient is φ = 354993510912.

The previous prime is 1100110100053. The next prime is 1100110100119. The reversal of 1100110100110 is 110010110011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1100110100093 and 1100110100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100110100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462229945 + ... + 462232324.

It is an arithmetic number, because the mean of its divisors is an integer number (74881443870).

Almost surely, 21100110100110 is an apocalyptic number.

1100110100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100110100110 is an abundant number, since it is smaller than the sum of its proper divisors (1296096103730).

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

1100110100110 is a wasteful number, since it uses less digits than its factorization.

1100110100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924462300.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1100110100110 its reverse (110010110011), we get a palindrome (1210120210121).

Subtracting from 1100110100110 its reverse (110010110011), we obtain a palindrome (990099990099).

The spelling of 1100110100110 in words is "one trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1190 924462269 1848924538 4622311345 6471235883 9244622690 12942471766 15715858573 31431717146 32356179415 64712358830 78579292865 110011010011 157158585730 220022020022 550055050055 1100110100110