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221002121129 is a prime number
BaseRepresentation
bin1100110111010011000…
…0001011111110101001
3210010110000110222111112
43031310300023332221
512110103020334004
6245305454240105
721652432014566
oct3156460137651
9703400428445
10221002121129
11857a9a326a9
12369b91b6035
1317ac04c759a
14a9a750786d
155b3718ee6e
hex3374c0bfa9

221002121129 has 2 divisors, whose sum is σ = 221002121130. Its totient is φ = 221002121128.

The previous prime is 221002121071. The next prime is 221002121203. The reversal of 221002121129 is 921121200122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128001519529 + 93000601600 = 357773^2 + 304960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221002121129 is a prime.

It is not a weakly prime, because it can be changed into another prime (221007121129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110501060564 + 110501060565.

It is an arithmetic number, because the mean of its divisors is an integer number (110501060565).

Almost surely, 2221002121129 is an apocalyptic number.

It is an amenable number.

221002121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221002121129 is an equidigital number, since it uses as much as digits as its factorization.

221002121129 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 23.

The spelling of 221002121129 in words is "two hundred twenty-one billion, two million, one hundred twenty-one thousand, one hundred twenty-nine".