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23201322329 is a prime number
BaseRepresentation
bin10101100110111010…
…000001010101011001
32012212221101021220102
4111212322001111121
5340004014303304
614354124505145
71450643662103
oct254672012531
965787337812
1023201322329
1199265a5959
1245b60ab1b5
1322599ba2c3
1411a1536573
1590bd2ad1e
hex566e81559

23201322329 has 2 divisors, whose sum is σ = 23201322330. Its totient is φ = 23201322328.

The previous prime is 23201322317. The next prime is 23201322341. The reversal of 23201322329 is 92322310232.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (23201322317) and next prime (23201322341).

It can be written as a sum of positive squares in only one way, i.e., 23112208729 + 89113600 = 152027^2 + 9440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23201322329 is a prime.

It is not a weakly prime, because it can be changed into another prime (23201322359) 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, 11600661164 + 11600661165.

It is an arithmetic number, because the mean of its divisors is an integer number (11600661165).

Almost surely, 223201322329 is an apocalyptic number.

It is an amenable number.

23201322329 is a deficient number, since it is larger than the sum of its proper divisors (1).

23201322329 is an equidigital number, since it uses as much as digits as its factorization.

23201322329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 23201322329 in words is "twenty-three billion, two hundred one million, three hundred twenty-two thousand, three hundred twenty-nine".