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200121220012221 = 32233037318330319
BaseRepresentation
bin101101100000001001011010…
…001110110001100010111101
3222020120101211220110201012200
4231200021122032301202331
5202212241224310342341
61545342230323022113
760103165250365044
oct5540113216614275
9866511756421180
10200121220012221
1158845a29602732
121a5409bb80a939
138788472156571
14375bcc0dc955b
15182092b1d4db6
hexb6025a3b18bd

200121220012221 has 24 divisors (see below), whose sum is σ = 301731303793920. Its totient is φ = 127571511599136.

The previous prime is 200121220012213. The next prime is 200121220012229. The reversal of 200121220012221 is 122210022121002.

It is a happy number.

200121220012221 is a `hidden beast` number, since 20 + 0 + 1 + 212 + 200 + 12 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (200121220012213) and next prime (200121220012229).

It is not a de Polignac number, because 200121220012221 - 23 = 200121220012213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200121220012194 and 200121220012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200121220012229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158536501 + ... + 159793818.

It is an arithmetic number, because the mean of its divisors is an integer number (12572137658080).

Almost surely, 2200121220012221 is an apocalyptic number.

It is an amenable number.

200121220012221 is a deficient number, since it is larger than the sum of its proper divisors (101610083781699).

200121220012221 is a wasteful number, since it uses less digits than its factorization.

200121220012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318333385 (or 318333382 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200121220012221 its reverse (122210022121002), we get a palindrome (322331242133223).

The spelling of 200121220012221 in words is "two hundred trillion, one hundred twenty-one billion, two hundred twenty million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 23 69 207 3037 9111 27333 69851 209553 628659 318330319 954990957 2864972871 7321597337 21964792011 65894376033 966769178803 2900307536409 8700922609227 22235691112469 66707073337407 200121220012221