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221211000000229 is a prime number
BaseRepresentation
bin110010010011000010110011…
…000100110100111011100101
31002000020120020221020120202111
4302103002303010310323211
5212443310112000001404
62102250532552241021
764410652540446121
oct6223026304647345
91060216227216674
10221211000000229
11645370705a5458
12209882103a0171
139658152a85095
143c8a95327a581
151a893146a0104
hexc930b3134ee5

221211000000229 has 2 divisors, whose sum is σ = 221211000000230. Its totient is φ = 221211000000228.

The previous prime is 221211000000169. The next prime is 221211000000251. The reversal of 221211000000229 is 922000000112122.

It is an a-pointer prime, because the next prime (221211000000251) can be obtained adding 221211000000229 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221068872508225 + 142127492004 = 14868385^2 + 376998^2 .

It is a cyclic number.

It is not a de Polignac number, because 221211000000229 - 211 = 221210999998181 is a prime.

It is a super-2 number, since 2×2212110000002292 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221211001000229) 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, 110605500000114 + 110605500000115.

It is an arithmetic number, because the mean of its divisors is an integer number (110605500000115).

Almost surely, 2221211000000229 is an apocalyptic number.

It is an amenable number.

221211000000229 is a deficient number, since it is larger than the sum of its proper divisors (1).

221211000000229 is an equidigital number, since it uses as much as digits as its factorization.

221211000000229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 221211000000229 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred twenty-nine", and thus it is an aban number.