Search a number
-
+
102220112221 = 1277480116673
BaseRepresentation
bin101111100110011001…
…0110010000101011101
3100202211220011201200021
41133030302302011131
53133321322042341
6114543111432141
710246052421613
oct1371462620535
9322756151607
10102220112221
113a395652297
1217989385651
139840763606
144d39c556b3
1529d40ca9d1
hex17cccb215d

102220112221 has 8 divisors (see below), whose sum is σ = 102327604344. Its totient is φ = 102112665600.

The previous prime is 102220112213. The next prime is 102220112237. The reversal of 102220112221 is 122211022201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49756209721 + 52463902500 = 223061^2 + 229050^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102220112221 - 23 = 102220112213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102220112195 and 102220112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220112921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6122541 + ... + 6139213.

It is an arithmetic number, because the mean of its divisors is an integer number (12790950543).

Almost surely, 2102220112221 is an apocalyptic number.

It is an amenable number.

102220112221 is a deficient number, since it is larger than the sum of its proper divisors (107492123).

102220112221 is a wasteful number, since it uses less digits than its factorization.

102220112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22751.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102220112221 its reverse (122211022201), we get a palindrome (224431134422).

The spelling of 102220112221 in words is "one hundred two billion, two hundred twenty million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 1277 4801 16673 6130877 21291421 80047073 102220112221