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221002131073 is a prime number
BaseRepresentation
bin1100110111010011000…
…0001110011010000001
3210010110000111111010211
43031310300032122001
512110103021143243
6245305454354121
721652432055563
oct3156460163201
9703400444124
10221002131073
11857a9a3a119
12369b91bb941
1317ac04cbc79
14a9a750b333
155b37192d9d
hex3374c0e681

221002131073 has 2 divisors, whose sum is σ = 221002131074. Its totient is φ = 221002131072.

The previous prime is 221002131019. The next prime is 221002131079. The reversal of 221002131073 is 370131200122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197790999169 + 23211131904 = 444737^2 + 152352^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221002131073 is a prime.

It is not a weakly prime, because it can be changed into another prime (221002131079) 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, 110501065536 + 110501065537.

It is an arithmetic number, because the mean of its divisors is an integer number (110501065537).

Almost surely, 2221002131073 is an apocalyptic number.

It is an amenable number.

221002131073 is a deficient number, since it is larger than the sum of its proper divisors (1).

221002131073 is an equidigital number, since it uses as much as digits as its factorization.

221002131073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 221002131073 its reverse (370131200122), we get a palindrome (591133331195).

The spelling of 221002131073 in words is "two hundred twenty-one billion, two million, one hundred thirty-one thousand, seventy-three".