Search a number
-
+
10233633601 is a prime number
BaseRepresentation
bin10011000011111100…
…01101101101000001
3222102012101110011201
421201332031231001
5131424302233401
64411250141201
7511412310322
oct114176155501
928365343151
1010233633601
11438168a434
121b97281801
13c7121c5c9
146d11bc449
153ed65cb01
hex261f8db41

10233633601 has 2 divisors, whose sum is σ = 10233633602. Its totient is φ = 10233633600.

The previous prime is 10233633589. The next prime is 10233633637. The reversal of 10233633601 is 10633633201.

10233633601 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., 7599480625 + 2634152976 = 87175^2 + 51324^2 .

It is a cyclic number.

It is not a de Polignac number, because 10233633601 - 221 = 10231536449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10233633601.

It is not a weakly prime, because it can be changed into another prime (10233633691) 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, 5116816800 + 5116816801.

It is an arithmetic number, because the mean of its divisors is an integer number (5116816801).

Almost surely, 210233633601 is an apocalyptic number.

It is an amenable number.

10233633601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10233633601 is an equidigital number, since it uses as much as digits as its factorization.

10233633601 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 28.

The spelling of 10233633601 in words is "ten billion, two hundred thirty-three million, six hundred thirty-three thousand, six hundred one".