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10122230033 is a prime number
BaseRepresentation
bin10010110110101010…
…01111100100010001
3222010102202120012122
421123111033210101
5131212242330113
64352230304025
7505560351506
oct113325174421
928112676178
1010122230033
11432480a273
121b65ab8015
13c54115436
146c049d4ad
153e39a4408
hex25b54f911

10122230033 has 2 divisors, whose sum is σ = 10122230034. Its totient is φ = 10122230032.

The previous prime is 10122230029. The next prime is 10122230047. The reversal of 10122230033 is 33003222101.

10122230033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7698834049 + 2423395984 = 87743^2 + 49228^2 .

It is an emirp because it is prime and its reverse (33003222101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10122230033 - 22 = 10122230029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122229993 and 10122230020.

It is not a weakly prime, because it can be changed into another prime (10122230023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061115016 + 5061115017.

It is an arithmetic number, because the mean of its divisors is an integer number (5061115017).

Almost surely, 210122230033 is an apocalyptic number.

It is an amenable number.

10122230033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122230033 is an equidigital number, since it uses as much as digits as its factorization.

10122230033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10122230033 its reverse (33003222101), we get a palindrome (43125452134).

The spelling of 10122230033 in words is "ten billion, one hundred twenty-two million, two hundred thirty thousand, thirty-three".