Search a number
-
+
20221201120217 is a prime number
BaseRepresentation
bin1001001100100000111011…
…00000100111101111011001
32122121010110021101200120212
410212100131200213233121
510122301004441321332
6111001254101500505
74154635133354666
oct446203540475731
978533407350525
1020221201120217
116496843959699
122327007411735
13b38b0aaa4b56
144dc9d5d66a6d
15250eee7338b2
hex12641d827bd9

20221201120217 has 2 divisors, whose sum is σ = 20221201120218. Its totient is φ = 20221201120216.

The previous prime is 20221201120051. The next prime is 20221201120271. The reversal of 20221201120217 is 71202110212202.

Together with next prime (20221201120271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19724825917696 + 496375202521 = 4441264^2 + 704539^2 .

It is a cyclic number.

It is not a de Polignac number, because 20221201120217 - 28 = 20221201119961 is a prime.

It is a super-2 number, since 2×202212011202172 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20221201120192 and 20221201120201.

It is not a weakly prime, because it can be changed into another prime (20221201180217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10110600560108 + 10110600560109.

It is an arithmetic number, because the mean of its divisors is an integer number (10110600560109).

Almost surely, 220221201120217 is an apocalyptic number.

It is an amenable number.

20221201120217 is a deficient number, since it is larger than the sum of its proper divisors (1).

20221201120217 is an equidigital number, since it uses as much as digits as its factorization.

20221201120217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 20221201120217 its reverse (71202110212202), we get a palindrome (91423311332419).

The spelling of 20221201120217 in words is "twenty trillion, two hundred twenty-one billion, two hundred one million, one hundred twenty thousand, two hundred seventeen".