Search a number
-
+
2121200202121 = 7111336722032621
BaseRepresentation
bin11110110111100001011…
…000100111000110001001
321111210012002102001020221
4132313201120213012021
5234223204222431441
64302244345550041
7306152214140020
oct36674130470611
97453162361227
102121200202121
1174866123a590
122a31297a5321
1312504a2b3bc0
14749493798b7
153a29d50d8d1
hex1ede1627189

2121200202121 has 64 divisors (see below), whose sum is σ = 2858191773696. Its totient is φ = 1520310124800.

The previous prime is 2121200202061. The next prime is 2121200202127. The reversal of 2121200202121 is 1212020021212.

It is a happy number.

It is not a de Polignac number, because 2121200202121 - 215 = 2121200169353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121200202095 and 2121200202104.

It is not an unprimeable number, because it can be changed into a prime (2121200202127) 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, 809308191 + ... + 809310811.

It is an arithmetic number, because the mean of its divisors is an integer number (44659246464).

Almost surely, 22121200202121 is an apocalyptic number.

It is an amenable number.

2121200202121 is a deficient number, since it is larger than the sum of its proper divisors (736991571575).

2121200202121 is a wasteful number, since it uses less digits than its factorization.

2121200202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2121200202121 its reverse (1212020021212), we get a palindrome (3333220223333).

The spelling of 2121200202121 in words is "two trillion, one hundred twenty-one billion, two hundred million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 367 1001 2203 2569 2621 4037 4771 15421 18347 24233 28259 28639 28831 33397 34073 52481 169631 200473 201817 238511 315029 367367 374803 808501 961907 2205203 2623621 5659507 5774063 6733349 8893511 10510513 10580977 12504791 40418441 62254577 63514693 73573591 74066839 75062819 87533537 115615643 137552701 444602851 525439733 809309501 825691009 962868907 2119081121 5779837063 14833567847 23309892331 27548054573 163169246317 192836382011 303028600303 2121200202121