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21122033 is a prime number
BaseRepresentation
bin101000010010…
…0101111110001
31110202002222112
41100210233301
520401401113
62032415105
7344351162
oct120445761
943662875
1021122033
1110a17329
1270a7495
1344b705a
142b3b769
151cc35a8
hex1424bf1

21122033 has 2 divisors, whose sum is σ = 21122034. Its totient is φ = 21122032.

The previous prime is 21122009. The next prime is 21122069. The reversal of 21122033 is 33022112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13630864 + 7491169 = 3692^2 + 2737^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122033 - 218 = 20859889 is a prime.

It is a super-2 number, since 2×211220332 = 892280556106178, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21121999 and 21122017.

It is not a weakly prime, because it can be changed into another prime (21121033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561016 + 10561017.

It is an arithmetic number, because the mean of its divisors is an integer number (10561017).

Almost surely, 221122033 is an apocalyptic number.

It is an amenable number.

21122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122033 is an equidigital number, since it uses as much as digits as its factorization.

21122033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 21122033 is about 4595.8712993294. The cubic root of 21122033 is about 276.4257981649.

Adding to 21122033 its reverse (33022112), we get a palindrome (54144145).

The spelling of 21122033 in words is "twenty-one million, one hundred twenty-two thousand, thirty-three".