Search a number
-
+
10205706109 is a prime number
BaseRepresentation
bin10011000000100111…
…01011011101111101
3222100020211120212011
421200103223131331
5131400130043414
64404411411221
7510623033134
oct114023533575
928306746764
1010205706109
114367945065
121b89a53b11
13c684c1a71
146cb5cc91b
153eae92dc4
hex2604eb77d

10205706109 has 2 divisors, whose sum is σ = 10205706110. Its totient is φ = 10205706108.

The previous prime is 10205706097. The next prime is 10205706131. The reversal of 10205706109 is 90160750201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5764150084 + 4441556025 = 75922^2 + 66645^2 .

It is a cyclic number.

It is not a de Polignac number, because 10205706109 - 213 = 10205697917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10205736109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102853054 + 5102853055.

It is an arithmetic number, because the mean of its divisors is an integer number (5102853055).

Almost surely, 210205706109 is an apocalyptic number.

It is an amenable number.

10205706109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205706109 is an equidigital number, since it uses as much as digits as its factorization.

10205706109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The spelling of 10205706109 in words is "ten billion, two hundred five million, seven hundred six thousand, one hundred nine".