Search a number
-
+
12223100101021 = 237130792431003
BaseRepresentation
bin1011000111011110100110…
…0010100010000110011101
31121021111221212021111122221
42301313221202202012131
53100230402111213041
641555114211305341
72401042546411555
oct261675142420635
947244855244587
1012223100101021
113992873395887
121454b035ab251
136a8830748694
1430385b9a8165
15162e3e3792d1
hexb1de98a219d

12223100101021 has 16 divisors (see below), whose sum is σ = 12938386728960. Its totient is φ = 11523241200240.

The previous prime is 12223100101013. The next prime is 12223100101061. The reversal of 12223100101021 is 12010100132221.

12223100101021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12223100101021 - 23 = 12223100101013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12223100100986 and 12223100101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223100101061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3812506 + ... + 6243508.

It is an arithmetic number, because the mean of its divisors is an integer number (808649170560).

Almost surely, 212223100101021 is an apocalyptic number.

It is an amenable number.

12223100101021 is a deficient number, since it is larger than the sum of its proper divisors (715286627939).

12223100101021 is a wasteful number, since it uses less digits than its factorization.

12223100101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434176.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12223100101021 its reverse (12010100132221), we get a palindrome (24233200233242).

The spelling of 12223100101021 in words is "twelve trillion, two hundred twenty-three billion, one hundred million, one hundred one thousand, twenty-one".

Divisors: 1 23 71 1633 3079 70817 218609 2431003 5028007 55913069 172601213 3969827899 7485058237 172156339451 531439134827 12223100101021