Search a number
-
+
200122202221002 = 23243346421746363
BaseRepresentation
bin101101100000001010010100…
…110001100110100111001010
3222020120111101100200002100200
4231200022110301212213022
5202212300232232033002
61545342512011113030
760103231505126355
oct5540122461464712
9866514340602320
10200122202221002
1158846392a84726
121a541034742776
13878859a7a47a9
14375bd7562529c
15182098754eb1c
hexb60294c669ca

200122202221002 has 48 divisors (see below), whose sum is σ = 443683656887328. Its totient is φ = 65155790458080.

The previous prime is 200122202220949. The next prime is 200122202221009.

200122202221002 is a `hidden beast` number, since 200 + 12 + 220 + 22 + 210 + 0 + 2 = 666.

200122202221002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200122202221009) 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, 267756673 + ... + 268503035.

It is an arithmetic number, because the mean of its divisors is an integer number (9243409518486).

Almost surely, 2200122202221002 is an apocalyptic number.

200122202221002 is an abundant number, since it is smaller than the sum of its proper divisors (243561454666326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200122202221002 is a wasteful number, since it uses less digits than its factorization.

200122202221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092835 (or 1092832 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 20012220 and 2221002, that added together give a palindrome (22233222).

The spelling of 200122202221002 in words is "two hundred trillion, one hundred twenty-two billion, two hundred two million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 346421 692842 746363 1039263 1492726 2078526 2239089 3117789 4478178 6235578 6717267 13434534 14896103 29792206 32093609 44688309 64187218 89376618 96280827 134064927 192561654 268129854 288842481 577684962 258555816823 517111633646 775667450469 1551334900938 2327002351407 4654004702814 11117900123389 22235800246778 33353700370167 66707400740334 100061101110501 200122202221002