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23033101349 is a prime number
BaseRepresentation
bin10101011100111000…
…010011110000100101
32012110012211210002202
4111130320103300211
5334132433220344
614325315144245
71443532062656
oct253470236045
965405753082
1023033101349
11984a648a55
1245698a5085
132230bab96b
14118706752d
158ec19c94e
hex55ce13c25

23033101349 has 2 divisors, whose sum is σ = 23033101350. Its totient is φ = 23033101348.

The previous prime is 23033101307. The next prime is 23033101417. The reversal of 23033101349 is 94310133032.

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., 15101952100 + 7931149249 = 122890^2 + 89057^2 .

It is a cyclic number.

It is not a de Polignac number, because 23033101349 - 228 = 22764665893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23033101249) 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, 11516550674 + 11516550675.

It is an arithmetic number, because the mean of its divisors is an integer number (11516550675).

Almost surely, 223033101349 is an apocalyptic number.

It is an amenable number.

23033101349 is a deficient number, since it is larger than the sum of its proper divisors (1).

23033101349 is an equidigital number, since it uses as much as digits as its factorization.

23033101349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 23033101349 in words is "twenty-three billion, thirty-three million, one hundred one thousand, three hundred forty-nine".