Search a number
-
+
12200122202138 = 213253681038417
BaseRepresentation
bin1011000110001000111111…
…1100110011100000011010
31121012022122111022022002222
42301202033330303200122
53044341322240432023
641540354143224042
72366300254451663
oct261421774634032
947168574268088
1012200122202138
113984051a21302
1214505702a8022
136a660b127100
143026bbdd036a
15162546e82cc8
hexb188ff3381a

12200122202138 has 24 divisors (see below), whose sum is σ = 20190064940028. Its totient is φ = 5524583630592.

The previous prime is 12200122202137. The next prime is 12200122202143. The reversal of 12200122202138 is 83120222100221.

It is a happy number.

12200122202138 is digitally balanced in base 2, 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 6 ways, for example, as 530294173369 + 11669828028769 = 728213^2 + 3416113^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12200122202137) 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, 340501295 + ... + 340537122.

Almost surely, 212200122202138 is an apocalyptic number.

12200122202138 is a deficient number, since it is larger than the sum of its proper divisors (7989942737890).

12200122202138 is a wasteful number, since it uses less digits than its factorization.

12200122202138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681038498 (or 681038485 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 12200122202138 its reverse (83120222100221), we get a palindrome (95320344302359).

The spelling of 12200122202138 in words is "twelve trillion, two hundred billion, one hundred twenty-two million, two hundred two thousand, one hundred thirty-eight".

Divisors: 1 2 13 26 53 106 169 338 689 1378 8957 17914 681038417 1362076834 8853499421 17706998842 36095036101 72190072202 115095492473 230190984946 469235469313 938470938626 6100061101069 12200122202138