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23133313633 is a prime number
BaseRepresentation
bin10101100010110110…
…100101101001100001
32012201012102002111211
4111202312211221201
5334334112014013
614343255110121
71446156631033
oct254266455141
965635362454
1023133313633
1198a1174a21
124597372341
132248897c81
1411964b1c53
15905d9523d
hex562da5a61

23133313633 has 2 divisors, whose sum is σ = 23133313634. Its totient is φ = 23133313632.

The previous prime is 23133313607. The next prime is 23133313639. The reversal of 23133313633 is 33631333132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20814698529 + 2318615104 = 144273^2 + 48152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23133313633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23133313595 and 23133313604.

It is not a weakly prime, because it can be changed into another prime (23133313639) 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, 11566656816 + 11566656817.

It is an arithmetic number, because the mean of its divisors is an integer number (11566656817).

Almost surely, 223133313633 is an apocalyptic number.

It is an amenable number.

23133313633 is a deficient number, since it is larger than the sum of its proper divisors (1).

23133313633 is an equidigital number, since it uses as much as digits as its factorization.

23133313633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26244, while the sum is 31.

Adding to 23133313633 its reverse (33631333132), we get a palindrome (56764646765).

The spelling of 23133313633 in words is "twenty-three billion, one hundred thirty-three million, three hundred thirteen thousand, six hundred thirty-three".