Search a number
-
+
9997180681 is a prime number
BaseRepresentation
bin10010100111110000…
…01101111100001001
3221210201110101202011
421103320031330021
5130433234240211
64332002135521
7502511430235
oct112370157411
927721411664
109997180681
1142701698a4
121b300515a1
13c34241137
146aba2b5c5
153d7a02921
hex253e0df09

9997180681 has 2 divisors, whose sum is σ = 9997180682. Its totient is φ = 9997180680.

The previous prime is 9997180679. The next prime is 9997180717. The reversal of 9997180681 is 1860817999.

9997180681 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., 9270608656 + 726572025 = 96284^2 + 26955^2 .

It is an emirp because it is prime and its reverse (1860817999) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9997180681 - 21 = 9997180679 is a prime.

It is a super-2 number, since 2×99971806812 (a number of 21 digits) contains 22 as substring.

Together with 9997180679, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (9997180481) 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, 4998590340 + 4998590341.

It is an arithmetic number, because the mean of its divisors is an integer number (4998590341).

Almost surely, 29997180681 is an apocalyptic number.

It is an amenable number.

9997180681 is a deficient number, since it is larger than the sum of its proper divisors (1).

9997180681 is an equidigital number, since it uses as much as digits as its factorization.

9997180681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1959552, while the sum is 58.

The square root of 9997180681 is about 99985.9024112900. The cubic root of 9997180681 is about 2154.2322030463.

The spelling of 9997180681 in words is "nine billion, nine hundred ninety-seven million, one hundred eighty thousand, six hundred eighty-one".