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10104033393 = 34124741153
BaseRepresentation
bin10010110100011111…
…10101000001110001
3222002011112002010000
421122033311001301
5131143113032033
64350340300213
7505246603206
oct113217650161
928064462100
1010104033393
114315510923
121b5b9a1669
13c50413aac
146bbcc3cad
153e20aca13
hex25a3f5071

10104033393 has 10 divisors (see below), whose sum is σ = 15093679634. Its totient is φ = 6736022208.

The previous prime is 10104033353. The next prime is 10104033413. The reversal of 10104033393 is 39333040101.

10104033393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7665352704 + 2438680689 = 87552^2 + 49383^2 .

It is not a de Polignac number, because 10104033393 - 210 = 10104032369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10104033323) 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, 62370496 + ... + 62370657.

Almost surely, 210104033393 is an apocalyptic number.

It is an amenable number.

10104033393 is a deficient number, since it is larger than the sum of its proper divisors (4989646241).

10104033393 is an equidigital number, since it uses as much as digits as its factorization.

10104033393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124741165 (or 124741156 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 10104033393 its reverse (39333040101), we get a palindrome (49437073494).

The spelling of 10104033393 in words is "ten billion, one hundred four million, thirty-three thousand, three hundred ninety-three".

Divisors: 1 3 9 27 81 124741153 374223459 1122670377 3368011131 10104033393