Search a number
-
+
221212211102009 is a prime number
BaseRepresentation
bin110010010011000011111011…
…010000110100000100111001
31002000020200101100010221001222
4302103003323100310010321
5212443320102020231014
62102251253054321425
764411024544603111
oct6223037320640471
91060220340127058
10221212211102009
11645376321a4116
12209884a9ab9275
1396582b696575a
143c8aa2a05a041
151a89385b8008e
hexc930fb434139

221212211102009 has 2 divisors, whose sum is σ = 221212211102010. Its totient is φ = 221212211102008.

The previous prime is 221212211101939. The next prime is 221212211102011. The reversal of 221212211102009 is 900201112212122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179179641640000 + 42032569462009 = 13385800^2 + 6483253^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221212211102009 is a prime.

Together with 221212211102011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (221212211107009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110606105551004 + 110606105551005.

It is an arithmetic number, because the mean of its divisors is an integer number (110606105551005).

Almost surely, 2221212211102009 is an apocalyptic number.

It is an amenable number.

221212211102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

221212211102009 is an equidigital number, since it uses as much as digits as its factorization.

221212211102009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 221212211102009 in words is "two hundred twenty-one trillion, two hundred twelve billion, two hundred eleven million, one hundred two thousand, nine".