Search a number
-
+
12100202331223 = 17611511972231759
BaseRepresentation
bin1011000000010100110001…
…0000101111110001010111
31120211202201220102221022011
42300011030100233301113
53041222203244044343
641422431201445051
72356132202534656
oct260051420576127
946752656387264
1012100202331223
113945737845396
121435125340787
1369a0760c1736
142db91d86b19d
1515eb49cc529d
hexb014c42fc57

12100202331223 has 64 divisors (see below), whose sum is σ = 13241392496640. Its totient is φ = 11015149824000.

The previous prime is 12100202331211. The next prime is 12100202331253. The reversal of 12100202331223 is 32213320200121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12100202331223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100202331194 and 12100202331203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100202331253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6879022618 + ... + 6879024376.

It is an arithmetic number, because the mean of its divisors is an integer number (206896757760).

Almost surely, 212100202331223 is an apocalyptic number.

12100202331223 is a deficient number, since it is larger than the sum of its proper divisors (1141190165417).

12100202331223 is a wasteful number, since it uses less digits than its factorization.

12100202331223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12100202331223 its reverse (32213320200121), we get a palindrome (44313522531344).

The spelling of 12100202331223 in words is "twelve trillion, one hundred billion, two hundred two million, three hundred thirty-one thousand, two hundred twenty-three".

Divisors: 1 17 61 151 197 223 1037 1759 2567 3349 3791 9211 12017 13603 29747 29903 33673 43931 107299 156587 204289 231251 265609 346523 392257 505699 572441 746827 1814567 1824083 2054053 2679791 4515353 5890891 6633581 6668369 16202149 21137903 23927677 30847639 34918901 45556447 52324973 59230807 77274629 112770877 275436533 359344351 404648441 406770509 889524541 1006923719 1313668693 3191823353 3613079227 4713752369 6879023497 11668468979 54260997001 61422346859 80133790273 198363972643 711776607719 12100202331223