Search a number
-
+
10705905997 is a prime number
BaseRepresentation
bin10011111100001111…
…10010100101001101
31000122010001101002221
421332013302211031
5133411202442442
64530200415341
7526205461633
oct117607624515
930563041087
1010705905997
1145a42286a6
1220a9477551
131018016b27
14737bd7353
15429d4a467
hex27e1f294d

10705905997 has 2 divisors, whose sum is σ = 10705905998. Its totient is φ = 10705905996.

The previous prime is 10705905971. The next prime is 10705906027. The reversal of 10705905997 is 79950950701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9914384041 + 791521956 = 99571^2 + 28134^2 .

It is an emirp because it is prime and its reverse (79950950701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10705905997 - 27 = 10705905869 is a prime.

It is a super-2 number, since 2×107059059972 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10705905697) 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, 5352952998 + 5352952999.

It is an arithmetic number, because the mean of its divisors is an integer number (5352952999).

Almost surely, 210705905997 is an apocalyptic number.

It is an amenable number.

10705905997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10705905997 is an equidigital number, since it uses as much as digits as its factorization.

10705905997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 893025, while the sum is 52.

The spelling of 10705905997 in words is "ten billion, seven hundred five million, nine hundred five thousand, nine hundred ninety-seven".