Search a number
-
+
223076072672021 is a prime number
BaseRepresentation
bin110010101110001011110010…
…000100011100101100010101
31002020211212100001111222111102
4302232023302010130230111
5213214334244101001041
62110235422200315445
764662500015544362
oct6256136204345425
91066755301458442
10223076072672021
1165096038495538
1221029779472b85
139761ca267b9ba
143d12d220b9469
151abcac1e6a09b
hexcae2f211cb15

223076072672021 has 2 divisors, whose sum is σ = 223076072672022. Its totient is φ = 223076072672020.

The previous prime is 223076072672017. The next prime is 223076072672053. The reversal of 223076072672021 is 120276270670322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222750819175921 + 325253496100 = 14924839^2 + 570310^2 .

It is a cyclic number.

It is not a de Polignac number, because 223076072672021 - 22 = 223076072672017 is a prime.

It is a super-3 number, since 3×2230760726720213 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223076072675021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111538036336010 + 111538036336011.

It is an arithmetic number, because the mean of its divisors is an integer number (111538036336011).

Almost surely, 2223076072672021 is an apocalyptic number.

It is an amenable number.

223076072672021 is a deficient number, since it is larger than the sum of its proper divisors (1).

223076072672021 is an equidigital number, since it uses as much as digits as its factorization.

223076072672021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1185408, while the sum is 47.

The spelling of 223076072672021 in words is "two hundred twenty-three trillion, seventy-six billion, seventy-two million, six hundred seventy-two thousand, twenty-one".