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1100011100112 = 2434848773997
BaseRepresentation
bin10000000000011101110…
…001010101011111010000
310220011022122221201020000
4100000131301111133100
5121010310320200422
62201201011250000
7142321205035251
oct20003561253720
93804278851200
101100011100112
1139456a652741
121592335a9900
137c9661937a2
143b352b56b28
151d931944cac
hex1001dc557d0

1100011100112 has 50 divisors (see below), whose sum is σ = 3183751266498. Its totient is φ = 366670366272.

The previous prime is 1100011100063. The next prime is 1100011100119. The reversal of 1100011100112 is 2110011100011.

It can be written as a sum of positive squares in only one way, i.e., 667462856256 + 432548243856 = 816984^2 + 657684^2 .

It is a super-2 number, since 2×11000111001122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100011100094 and 1100011100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100011100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 424385703 + ... + 424388294.

Almost surely, 21100011100112 is an apocalyptic number.

1100011100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100011100112 is an abundant number, since it is smaller than the sum of its proper divisors (2083740166386).

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

1100011100112 is an equidigital number, since it uses as much as digits as its factorization.

1100011100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848774017 (or 848774002 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1100011100112 its reverse (2110011100011), we get a palindrome (3210022200123).

The spelling of 1100011100112 in words is "one trillion, one hundred billion, eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 848773997 1697547994 2546321991 3395095988 5092643982 6790191976 7638965973 10185287964 13580383952 15277931946 20370575928 22916897919 30555863892 40741151856 45833795838 61111727784 68750693757 91667591676 122223455568 137501387514 183335183352 275002775028 366670366704 550005550056 1100011100112