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221021012249 is a prime number
BaseRepresentation
bin1100110111010111100…
…0010000000100011001
3210010111100000202020122
43031311320100010121
512110122334342444
6245311411203025
721653051415002
oct3156570200431
9703440022218
10221021012249
11858096658a4
1236a035a6475
1317ac43b006b
14a9a9c241a9
155b38b724ee
hex3375e10119

221021012249 has 2 divisors, whose sum is σ = 221021012250. Its totient is φ = 221021012248.

The previous prime is 221021012203. The next prime is 221021012297. The reversal of 221021012249 is 942210120122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133970640400 + 87050371849 = 366020^2 + 295043^2 .

It is a cyclic number.

It is not a de Polignac number, because 221021012249 - 28 = 221021011993 is a prime.

It is not a weakly prime, because it can be changed into another prime (221021012299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510506124 + 110510506125.

It is an arithmetic number, because the mean of its divisors is an integer number (110510506125).

Almost surely, 2221021012249 is an apocalyptic number.

It is an amenable number.

221021012249 is a deficient number, since it is larger than the sum of its proper divisors (1).

221021012249 is an equidigital number, since it uses as much as digits as its factorization.

221021012249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 221021012249 in words is "two hundred twenty-one billion, twenty-one million, twelve thousand, two hundred forty-nine".