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101320033 is a prime number
BaseRepresentation
bin1100000101000…
…00010101100001
321001122120221211
412002200111201
5201414220113
614015350121
72340130453
oct602402541
9231576854
10101320033
1152213271
1229b22341
1317cb65a9
14d6562d3
158d65b3d
hex60a0561

101320033 has 2 divisors, whose sum is σ = 101320034. Its totient is φ = 101320032.

The previous prime is 101320031. The next prime is 101320039. The reversal of 101320033 is 330023101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55175184 + 46144849 = 7428^2 + 6793^2 .

It is an emirp because it is prime and its reverse (330023101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101320033 - 21 = 101320031 is a prime.

Together with 101320031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101319995 and 101320022.

It is not a weakly prime, because it can be changed into another prime (101320031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660016 + 50660017.

It is an arithmetic number, because the mean of its divisors is an integer number (50660017).

Almost surely, 2101320033 is an apocalyptic number.

It is an amenable number.

101320033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101320033 is an equidigital number, since it uses as much as digits as its factorization.

101320033 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 13.

The square root of 101320033 is about 10065.7852649458. The cubic root of 101320033 is about 466.1923122690.

Adding to 101320033 its reverse (330023101), we get a palindrome (431343134).

The spelling of 101320033 in words is "one hundred one million, three hundred twenty thousand, thirty-three".