Search a number
-
+
200022111221 is a prime number
BaseRepresentation
bin1011101001001000111…
…1110011001111110101
3201010021212220001101112
42322102033303033311
511234121130024341
6231520000004405
720310506615132
oct2722217631765
9633255801345
10200022111221
11779132a3739
1232923000705
1315b28a9153a
149976dd9589
15530a390aeb
hex2e923f33f5

200022111221 has 2 divisors, whose sum is σ = 200022111222. Its totient is φ = 200022111220.

The previous prime is 200022111209. The next prime is 200022111283. The reversal of 200022111221 is 122111220002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195683254321 + 4338856900 = 442361^2 + 65870^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200022111221 is a prime.

It is a super-2 number, since 2×2000221112212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200022111196 and 200022111205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200022111721) 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 as a sum of consecutive naturals, namely, 100011055610 + 100011055611.

It is an arithmetic number, because the mean of its divisors is an integer number (100011055611).

Almost surely, 2200022111221 is an apocalyptic number.

It is an amenable number.

200022111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

200022111221 is an equidigital number, since it uses as much as digits as its factorization.

200022111221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200022111221 its reverse (122111220002), we get a palindrome (322133331223).

The spelling of 200022111221 in words is "two hundred billion, twenty-two million, one hundred eleven thousand, two hundred twenty-one".