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51833101 is a prime number
BaseRepresentation
bin1100010110111…
…0100100001101
310121112101122111
43011232210031
5101232124401
65050544021
71166400625
oct305564415
9117471574
1051833101
1127292a81
1215438011
13a97a898
146c53885
15483ce51
hex316e90d

51833101 has 2 divisors, whose sum is σ = 51833102. Its totient is φ = 51833100.

The previous prime is 51833087. The next prime is 51833123. The reversal of 51833101 is 10133815.

51833101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (51833123) can be obtained adding 51833101 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50268100 + 1565001 = 7090^2 + 1251^2 .

It is a cyclic number.

It is not a de Polignac number, because 51833101 - 27 = 51832973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51833161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25916550 + 25916551.

It is an arithmetic number, because the mean of its divisors is an integer number (25916551).

Almost surely, 251833101 is an apocalyptic number.

It is an amenable number.

51833101 is a deficient number, since it is larger than the sum of its proper divisors (1).

51833101 is an equidigital number, since it uses as much as digits as its factorization.

51833101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 51833101 is about 7199.5208868368. The cubic root of 51833101 is about 372.8513592422.

Adding to 51833101 its reverse (10133815), we get a palindrome (61966916).

The spelling of 51833101 in words is "fifty-one million, eight hundred thirty-three thousand, one hundred one".