Search a number
-
+
10211310077 is a prime number
BaseRepresentation
bin10011000001010010…
…00011100111111101
3222100122101022001112
421200221003213331
5131403043410302
64405131451405
7511021463213
oct114051034775
928318338045
1010211310077
114370022441
121b8b8b6b65
13c69704717
146cc24acb3
153eb6ed552
hex260a439fd

10211310077 has 2 divisors, whose sum is σ = 10211310078. Its totient is φ = 10211310076.

The previous prime is 10211310073. The next prime is 10211310107. The reversal of 10211310077 is 77001311201.

10211310077 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., 10211304601 + 5476 = 101051^2 + 74^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211310077 - 22 = 10211310073 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211310073) 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, 5105655038 + 5105655039.

It is an arithmetic number, because the mean of its divisors is an integer number (5105655039).

Almost surely, 210211310077 is an apocalyptic number.

It is an amenable number.

10211310077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211310077 is an equidigital number, since it uses as much as digits as its factorization.

10211310077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 23.

Adding to 10211310077 its reverse (77001311201), we get a palindrome (87212621278).

The spelling of 10211310077 in words is "ten billion, two hundred eleven million, three hundred ten thousand, seventy-seven".