Search a number
-
+
221221011009997 is a prime number
BaseRepresentation
bin110010010011001100000111…
…110001110011000111001101
31002000021112002121201120110001
4302103030013301303013031
5212443441112304304442
62102255310211044301
764411455610564405
oct6223140761630715
91060245077646401
10221221011009997
116454033854a249
122098a144ba0691
139659089b288bb
143c8b222a67805
151a896ed4d52b7
hexc93307c731cd

221221011009997 has 2 divisors, whose sum is σ = 221221011009998. Its totient is φ = 221221011009996.

The previous prime is 221221011009989. The next prime is 221221011010037. The reversal of 221221011009997 is 799900110122122.

221221011009997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187007238653481 + 34213772356516 = 13675059^2 + 5849254^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221011009997 - 23 = 221221011009989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221221011009917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110610505504998 + 110610505504999.

It is an arithmetic number, because the mean of its divisors is an integer number (110610505504999).

Almost surely, 2221221011009997 is an apocalyptic number.

It is an amenable number.

221221011009997 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221011009997 is an equidigital number, since it uses as much as digits as its factorization.

221221011009997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81648, while the sum is 46.

The spelling of 221221011009997 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, eleven million, nine thousand, nine hundred ninety-seven".