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33123145 = 5112531033
BaseRepresentation
bin111111001011…
…0101101001001
32022022211102011
41332112231021
531434420040
63141535521
7551353636
oct176265511
968284364
1033123145
1117773a00
12b1145a1
136b296c3
14458318d
152d943ea
hex1f96b49

33123145 has 24 divisors (see below), whose sum is σ = 44557128. Its totient is φ = 23612160.

The previous prime is 33123143. The next prime is 33123193. The reversal of 33123145 is 54132133.

It can be written as a sum of positive squares in 4 ways, for example, as 14907321 + 18215824 = 3861^2 + 4268^2 .

It is not a de Polignac number, because 33123145 - 21 = 33123143 is a prime.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33123143) 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, 31549 + ... + 32581.

It is an arithmetic number, because the mean of its divisors is an integer number (1856547).

Almost surely, 233123145 is an apocalyptic number.

It is an amenable number.

33123145 is a deficient number, since it is larger than the sum of its proper divisors (11433983).

33123145 is a wasteful number, since it uses less digits than its factorization.

33123145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 33123145 is about 5755.2710622524. The cubic root of 33123145 is about 321.1519193685.

Adding to 33123145 its reverse (54132133), we get a palindrome (87255278).

The spelling of 33123145 in words is "thirty-three million, one hundred twenty-three thousand, one hundred forty-five".

Divisors: 1 5 11 53 55 121 265 583 605 1033 2915 5165 6413 11363 32065 54749 56815 124993 273745 602239 624965 3011195 6624629 33123145