Search a number
-
+
22100122120221 = 3219013129152113
BaseRepresentation
bin1010000011001100101011…
…11011011011000000011101
32220020202021111202001022200
411001212111323123000131
510344042022230321341
6115000353403402113
74440452425350045
oct501462573330035
986222244661280
1022100122120221
117050677873722
12258b19a223339
13c44056744812
1456591a07a725
15284d1cb71db6
hex141995edb01d

22100122120221 has 12 divisors (see below), whose sum is σ = 31924077842748. Its totient is φ = 14732639720064.

The previous prime is 22100122120217. The next prime is 22100122120289. The reversal of 22100122120221 is 12202122100122.

It is a happy number.

22100122120221 is a `hidden beast` number, since 221 + 0 + 0 + 1 + 221 + 2 + 0 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 685310787225 + 21414811332996 = 827835^2 + 4627614^2 .

It is not a de Polignac number, because 22100122120221 - 22 = 22100122120217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22100122120194 and 22100122120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100122120291) 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, 64404940 + ... + 64747173.

It is an arithmetic number, because the mean of its divisors is an integer number (2660339820229).

Almost surely, 222100122120221 is an apocalyptic number.

It is an amenable number.

22100122120221 is a deficient number, since it is larger than the sum of its proper divisors (9823955722527).

22100122120221 is a wasteful number, since it uses less digits than its factorization.

22100122120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129171132 (or 129171129 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22100122120221 its reverse (12202122100122), we get a palindrome (34302244220343).

The spelling of 22100122120221 in words is "twenty-two trillion, one hundred billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 19013 57039 171117 129152113 387456339 1162369017 2455569124469 7366707373407 22100122120221