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103112033 is a prime number
BaseRepresentation
bin1100010010101…
…01110101100001
321012000122010012
412021111311201
5202344041113
614122014305
72361303113
oct611256541
9235018105
10103112033
1153227662
122a647395
131849314b
14d9a13b3
1590bbaa8
hex6255d61

103112033 has 2 divisors, whose sum is σ = 103112034. Its totient is φ = 103112032.

The previous prime is 103112027. The next prime is 103112039. The reversal of 103112033 is 330211301.

It is a balanced prime because it is at equal distance from previous prime (103112027) and next prime (103112039).

It can be written as a sum of positive squares in only one way, i.e., 81144064 + 21967969 = 9008^2 + 4687^2 .

It is a cyclic number.

It is not a de Polignac number, because 103112033 - 26 = 103111969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103111999 and 103112017.

It is not a weakly prime, because it can be changed into another prime (103112039) 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 as a sum of consecutive naturals, namely, 51556016 + 51556017.

It is an arithmetic number, because the mean of its divisors is an integer number (51556017).

Almost surely, 2103112033 is an apocalyptic number.

It is an amenable number.

103112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

103112033 is an equidigital number, since it uses as much as digits as its factorization.

103112033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 103112033 is about 10154.4095347785. The cubic root of 103112033 is about 468.9247079017.

Adding to 103112033 its reverse (330211301), we get a palindrome (433323334).

The spelling of 103112033 in words is "one hundred three million, one hundred twelve thousand, thirty-three".