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110100012 = 223113722543
BaseRepresentation
bin1101000111111…
…11111000101100
321200011122211020
412203333320230
5211141200022
614531454140
72504556201
oct643777054
9250148736
10110100012
115716a850
1230a57350
1319a6ba49
141089dca8
1599ec35c
hex68ffe2c

110100012 has 48 divisors (see below), whose sum is σ = 287841792. Its totient is φ = 32460480.

The previous prime is 110099993. The next prime is 110100013. The reversal of 110100012 is 210001011.

110100012 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

110100012 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (110100013) 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 15 ways as a sum of consecutive naturals, for example, 6388 + ... + 16155.

It is an arithmetic number, because the mean of its divisors is an integer number (5996704).

Almost surely, 2110100012 is an apocalyptic number.

110100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110100012 is an abundant number, since it is smaller than the sum of its proper divisors (177741780).

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

110100012 is a wasteful number, since it uses less digits than its factorization.

110100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22598 (or 22596 counting only the distinct ones).

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

The square root of 110100012 is about 10492.8552834774. The cubic root of 110100012 is about 479.2871536841.

Adding to 110100012 its reverse (210001011), we get a palindrome (320101023).

Subtracting 110100012 from its reverse (210001011), we obtain a palindrome (99900999).

The spelling of 110100012 in words is "one hundred ten million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 22543 45086 67629 90172 135258 247973 270516 495946 743919 834091 991892 1487838 1668182 2502273 2975676 3336364 5004546 9175001 10009092 18350002 27525003 36700004 55050006 110100012