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100220000033 is a prime number
BaseRepresentation
bin101110101010110010…
…0111101011100100001
3100120200111121111120002
41131111210331130201
53120222310000113
6114012422225345
710145354642006
oct1352544753441
9316614544502
10100220000033
113955963940a
121750b585255
1395b227a18a
144bca36b8ad
1529186e4c58
hex175593d721

100220000033 has 2 divisors, whose sum is σ = 100220000034. Its totient is φ = 100220000032.

The previous prime is 100220000009. The next prime is 100220000051. The reversal of 100220000033 is 330000022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70144463104 + 30075536929 = 264848^2 + 173423^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220000033 - 212 = 100219995937 is a prime.

It is a super-2 number, since 2×1002200000332 (a number of 23 digits) 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 = 100219999969 and 100220000023.

It is not a weakly prime, because it can be changed into another prime (100220000833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110000016 + 50110000017.

It is an arithmetic number, because the mean of its divisors is an integer number (50110000017).

Almost surely, 2100220000033 is an apocalyptic number.

It is an amenable number.

100220000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220000033 is an equidigital number, since it uses as much as digits as its factorization.

100220000033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 100220000033 its reverse (330000022001), we get a palindrome (430220022034).

The spelling of 100220000033 in words is "one hundred billion, two hundred twenty million, thirty-three", and thus it is an aban number.