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110022133 = 13232271621
BaseRepresentation
bin1101000111011…
…00110111110101
321200000200222211
412203230313311
5211131202013
614530053421
72504113144
oct643546765
9250020884
10110022133
1157117291
1230a1a271
1319a42470
141087d75b
1599d423d
hex68ecdf5

110022133 has 16 divisors (see below), whose sum is σ = 124258176. Its totient is φ = 96655680.

The previous prime is 110022119. The next prime is 110022137. The reversal of 110022133 is 331220011.

It is a cyclic number.

It is not a de Polignac number, because 110022133 - 213 = 110013941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022137) 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, 67063 + ... + 68683.

It is an arithmetic number, because the mean of its divisors is an integer number (7766136).

Almost surely, 2110022133 is an apocalyptic number.

110022133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110022133 is a deficient number, since it is larger than the sum of its proper divisors (14236043).

110022133 is a wasteful number, since it uses less digits than its factorization.

110022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 110022133 is about 10489.1435780048. The cubic root of 110022133 is about 479.1741194590.

Adding to 110022133 its reverse (331220011), we get a palindrome (441242144).

The spelling of 110022133 in words is "one hundred ten million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 13 23 227 299 1621 2951 5221 21073 37283 67873 367967 484679 4783571 8463241 110022133