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103042033 = 971815869
BaseRepresentation
bin1100010010001…
…00101111110001
321011220002002121
412021010233301
5202334321113
614120314241
72360562043
oct611045761
9234802077
10103042033
115318a006
122a612981
131846a323
14d983a93
1590a5e8d
hex6244bf1

103042033 has 8 divisors (see below), whose sum is σ = 104697320. Its totient is φ = 101399040.

The previous prime is 103042031. The next prime is 103042057. The reversal of 103042033 is 330240301.

It can be written as a sum of positive squares in 4 ways, for example, as 4397409 + 98644624 = 2097^2 + 9932^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103042033 - 21 = 103042031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103041998 and 103042016.

It is not an unprimeable number, because it can be changed into a prime (103042031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14623 + ... + 20491.

It is an arithmetic number, because the mean of its divisors is an integer number (13087165).

Almost surely, 2103042033 is an apocalyptic number.

It is an amenable number.

103042033 is a deficient number, since it is larger than the sum of its proper divisors (1655287).

103042033 is an equidigital number, since it uses as much as digits as its factorization.

103042033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 103042033 is about 10150.9621711442. The cubic root of 103042033 is about 468.8185704014.

Adding to 103042033 its reverse (330240301), we get a palindrome (433282334).

The spelling of 103042033 in words is "one hundred three million, forty-two thousand, thirty-three".

Divisors: 1 97 181 5869 17557 569293 1062289 103042033