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221331203221 is a prime number
BaseRepresentation
bin1100111000100001011…
…1100010010010010101
3210011021221201002021011
43032020113202102111
512111241242000341
6245402251452221
721663536120602
oct3161027422225
9704257632234
10221331203221
118595876a977
1236a8b457071
1317b4373860b
14a9d90cb6a9
155b55ee5b81
hex33885e2495

221331203221 has 2 divisors, whose sum is σ = 221331203222. Its totient is φ = 221331203220.

The previous prime is 221331203111. The next prime is 221331203257. The reversal of 221331203221 is 122302133122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206924002321 + 14407200900 = 454889^2 + 120030^2 .

It is a cyclic number.

It is not a de Polignac number, because 221331203221 - 29 = 221331202709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221331203192 and 221331203201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221331209221) 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, 110665601610 + 110665601611.

It is an arithmetic number, because the mean of its divisors is an integer number (110665601611).

Almost surely, 2221331203221 is an apocalyptic number.

It is an amenable number.

221331203221 is a deficient number, since it is larger than the sum of its proper divisors (1).

221331203221 is an equidigital number, since it uses as much as digits as its factorization.

221331203221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 221331203221 its reverse (122302133122), we get a palindrome (343633336343).

The spelling of 221331203221 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred three thousand, two hundred twenty-one".