Search a number
-
+
10000110973 is a prime number
BaseRepresentation
bin10010101000000110…
…11001010101111101
3221210220222021100111
421110003121111331
5130440012022343
64332145030021
7502545353326
oct112403312575
927726867314
1010000110973
114271890426
121b31025311
13c34a28b38
146ac19144d
153d7dd0c9d
hex2540d957d

10000110973 has 2 divisors, whose sum is σ = 10000110974. Its totient is φ = 10000110972.

The previous prime is 10000110931. The next prime is 10000110983. The reversal of 10000110973 is 37901100001.

10000110973 is digitally balanced in base 2, 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., 8197853764 + 1802257209 = 90542^2 + 42453^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000110973 - 217 = 9999979901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000110983) 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, 5000055486 + 5000055487.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055487).

Almost surely, 210000110973 is an apocalyptic number.

It is an amenable number.

10000110973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000110973 is an equidigital number, since it uses as much as digits as its factorization.

10000110973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

Adding to 10000110973 its reverse (37901100001), we get a palindrome (47901210974).

The spelling of 10000110973 in words is "ten billion, one hundred ten thousand, nine hundred seventy-three".