Search a number
-
+
221210222212117 is a prime number
BaseRepresentation
bin110010010011000010000100…
…101101110011010000010101
31002000020111020201200212001101
4302103002010231303100111
5212443302013341241432
62102250323445430101
764410624344403235
oct6223020455632025
91060214221625041
10221210222212117
1164536801555766
1220988033a0b331
13965805a8ab328
143c8a8bbc53cc5
151a892bb2644e7
hexc93084b73415

221210222212117 has 2 divisors, whose sum is σ = 221210222212118. Its totient is φ = 221210222212116.

The previous prime is 221210222212079. The next prime is 221210222212163. The reversal of 221210222212117 is 711212222012122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220167401365521 + 1042820846596 = 14838039^2 + 1021186^2 .

It is a cyclic number.

It is not a de Polignac number, because 221210222212117 - 247 = 80472733856789 is a prime.

It is a super-2 number, since 2×2212102222121172 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221210222212817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110605111106058 + 110605111106059.

It is an arithmetic number, because the mean of its divisors is an integer number (110605111106059).

Almost surely, 2221210222212117 is an apocalyptic number.

It is an amenable number.

221210222212117 is a deficient number, since it is larger than the sum of its proper divisors (1).

221210222212117 is an equidigital number, since it uses as much as digits as its factorization.

221210222212117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 28.

Adding to 221210222212117 its reverse (711212222012122), we get a palindrome (932422444224239).

The spelling of 221210222212117 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred twenty-two million, two hundred twelve thousand, one hundred seventeen".