Search a number
-
+
22230100320193 is a prime number
BaseRepresentation
bin1010000110111110110010…
…01110111001111111000001
32220201011202220122201221001
411003133121032321333001
510403204221140221233
6115140211143332001
74453033416000343
oct503373116717701
986634686581831
1022230100320193
1170a08071030a7
1225b0413751001
13c5339bc5580c
1456bd2a6ad293
152883c8b2b27d
hex1437d93b9fc1

22230100320193 has 2 divisors, whose sum is σ = 22230100320194. Its totient is φ = 22230100320192.

The previous prime is 22230100320191. The next prime is 22230100320317. The reversal of 22230100320193 is 39102300103222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22128481544464 + 101618775729 = 4704092^2 + 318777^2 .

It is a cyclic number.

It is not a de Polignac number, because 22230100320193 - 21 = 22230100320191 is a prime.

It is a super-2 number, since 2×222301003201932 (a number of 27 digits) contains 22 as substring.

Together with 22230100320191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22230100320191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11115050160096 + 11115050160097.

It is an arithmetic number, because the mean of its divisors is an integer number (11115050160097).

Almost surely, 222230100320193 is an apocalyptic number.

It is an amenable number.

22230100320193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22230100320193 is an equidigital number, since it uses as much as digits as its factorization.

22230100320193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 22230100320193 in words is "twenty-two trillion, two hundred thirty billion, one hundred million, three hundred twenty thousand, one hundred ninety-three".