Search a number
-
+
110122222101021 = 32138609109329257
BaseRepresentation
bin11001000010011111010011…
…111011100010001000011101
3112102220120200222222211011100
4121002133103323202020131
5103413220302324213041
61030113241143343313
732124032215320564
oct3102372373421035
9472816628884140
10110122222101021
11320a763254a739
1210426511451b39
13495a6339579b0
141d29d30438bdb
15cae7e97ed6b6
hex6427d3ee221d

110122222101021 has 24 divisors (see below), whose sum is σ = 171321133871160. Its totient is φ = 67759648966656.

The previous prime is 110122222100993. The next prime is 110122222101029. The reversal of 110122222101021 is 120101222221011.

110122222101021 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 75012921 + 110122147088100 = 8661^2 + 10493910^2 .

It is not a de Polignac number, because 110122222101021 - 231 = 110120074617373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110122222100985 and 110122222101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122222101029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53657376 + ... + 55671881.

It is an arithmetic number, because the mean of its divisors is an integer number (7138380577965).

Almost surely, 2110122222101021 is an apocalyptic number.

It is an amenable number.

110122222101021 is a deficient number, since it is larger than the sum of its proper divisors (61198911770139).

110122222101021 is a wasteful number, since it uses less digits than its factorization.

110122222101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109337885 (or 109337882 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110122222101021 its reverse (120101222221011), we get a palindrome (230223444322032).

The spelling of 110122222101021 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 13 39 117 8609 25827 77481 111917 335751 1007253 109329257 327987771 983963313 1421280341 4263841023 12791523069 941215573513 2823646720539 8470940161617 12235802455669 36707407367007 110122222101021