Search a number
-
+
20123022181 is a prime number
BaseRepresentation
bin10010101111011011…
…001111001101100101
31220221102000102221211
4102233123033031211
5312202443202211
613124442111421
71311444603103
oct225733171545
956842012854
1020123022181
118596a15449
123a971ab571
131b8901c322
14d8c78ac73
157cb96be21
hex4af6cf365

20123022181 has 2 divisors, whose sum is σ = 20123022182. Its totient is φ = 20123022180.

The previous prime is 20123022173. The next prime is 20123022187. The reversal of 20123022181 is 18122032102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17257025956 + 2865996225 = 131366^2 + 53535^2 .

It is a cyclic number.

It is not a de Polignac number, because 20123022181 - 23 = 20123022173 is a prime.

It is a super-3 number, since 3×201230221813 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20123022187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061511090 + 10061511091.

It is an arithmetic number, because the mean of its divisors is an integer number (10061511091).

Almost surely, 220123022181 is an apocalyptic number.

It is an amenable number.

20123022181 is a deficient number, since it is larger than the sum of its proper divisors (1).

20123022181 is an equidigital number, since it uses as much as digits as its factorization.

20123022181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 20123022181 its reverse (18122032102), we get a palindrome (38245054283).

The spelling of 20123022181 in words is "twenty billion, one hundred twenty-three million, twenty-two thousand, one hundred eighty-one".