Search a number
-
+
10120204837 is a prime number
BaseRepresentation
bin10010110110011011…
…00001001000100101
3222010021221200011101
421123031201020211
5131211233023322
64352115040101
7505534215241
oct113315411045
928107850141
1010120204837
114323656756
121b652a0031
13c538866b2
146c00d3421
153e3704327
hex25b361225

10120204837 has 2 divisors, whose sum is σ = 10120204838. Its totient is φ = 10120204836.

The previous prime is 10120204823. The next prime is 10120204841. The reversal of 10120204837 is 73840202101.

10120204837 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7195450276 + 2924754561 = 84826^2 + 54081^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120204837 - 27 = 10120204709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120204807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060102418 + 5060102419.

It is an arithmetic number, because the mean of its divisors is an integer number (5060102419).

Almost surely, 210120204837 is an apocalyptic number.

It is an amenable number.

10120204837 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120204837 is an equidigital number, since it uses as much as digits as its factorization.

10120204837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 10120204837 its reverse (73840202101), we get a palindrome (83960406938).

The spelling of 10120204837 in words is "ten billion, one hundred twenty million, two hundred four thousand, eight hundred thirty-seven".