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10442133 = 3213312879
BaseRepresentation
bin100111110101…
…010110010101
3201122111220200
4213311112111
510133122013
61011451113
7154520352
oct47652625
921574820
1010442133
115992369
1235b6a99
132217ba0
14155b629
15db3e73
hex9f5595

10442133 has 24 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 6216480.

The previous prime is 10442119. The next prime is 10442197. The reversal of 10442133 is 33124401.

It is not a de Polignac number, because 10442133 - 218 = 10179989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2188 + ... + 5066.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 210442133 is an apocalyptic number.

10442133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10442133 is a deficient number, since it is larger than the sum of its proper divisors (6330987).

10442133 is a wasteful number, since it uses less digits than its factorization.

10442133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10442133 is about 3231.4289408867. The cubic root of 10442133 is about 218.5729464752.

Adding to 10442133 its reverse (33124401), we get a palindrome (43566534).

The spelling of 10442133 in words is "ten million, four hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 2879 3627 8637 25911 37427 89249 112281 267747 336843 803241 1160237 3480711 10442133