Search a number
-
+
12101112210221 = 172227171843217
BaseRepresentation
bin1011000000011000001001…
…1111101010001100101101
31120211212002022112120122022
42300012002133222030231
53041231034211211341
641423101343355525
72356163561430266
oct260060237521455
946755068476568
1012101112210221
113946064404a01
121435339bb2ba5
1369a18c766888
142db9a863996d
1515eb9eb03e4b
hexb01827ea32d

12101112210221 has 12 divisors (see below), whose sum is σ = 12855387542868. Its totient is φ = 11388774546432.

The previous prime is 12101112210193. The next prime is 12101112210227. The reversal of 12101112210221 is 12201221110121.

It can be written as a sum of positive squares in 6 ways, for example, as 26564436196 + 12074547774025 = 162986^2 + 3474845^2 .

It is not a de Polignac number, because 12101112210221 - 214 = 12101112193837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12101112210221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101112210227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5643605 + ... + 7486821.

It is an arithmetic number, because the mean of its divisors is an integer number (1071282295239).

Almost surely, 212101112210221 is an apocalyptic number.

It is an amenable number.

12101112210221 is a deficient number, since it is larger than the sum of its proper divisors (754275332647).

12101112210221 is a wasteful number, since it uses less digits than its factorization.

12101112210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865968 (or 1865951 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12101112210221 its reverse (12201221110121), we get a palindrome (24302333320342).

The spelling of 12101112210221 in words is "twelve trillion, one hundred one billion, one hundred twelve million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 17 289 22717 386189 1843217 6565213 31334689 532689713 41872360589 711830130013 12101112210221