Search a number
-
+
221331043229 is a prime number
BaseRepresentation
bin1100111000100001011…
…0111011001110011101
3210011021221101221210112
43032020112323032131
512111241221340404
6245402244215405
721663534553262
oct3161026731635
9704257357715
10221331043229
118595867074a
1236a8b39a565
1317b436b084a
14a9d9089269
155b55eb356e
hex33885bb39d

221331043229 has 2 divisors, whose sum is σ = 221331043230. Its totient is φ = 221331043228.

The previous prime is 221331043189. The next prime is 221331043259. The reversal of 221331043229 is 922340133122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207712620025 + 13618423204 = 455755^2 + 116698^2 .

It is a cyclic number.

It is not a de Polignac number, because 221331043229 - 232 = 217036075933 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221331043195 and 221331043204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221331043259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110665521614 + 110665521615.

It is an arithmetic number, because the mean of its divisors is an integer number (110665521615).

Almost surely, 2221331043229 is an apocalyptic number.

It is an amenable number.

221331043229 is a deficient number, since it is larger than the sum of its proper divisors (1).

221331043229 is an equidigital number, since it uses as much as digits as its factorization.

221331043229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 221331043229 in words is "two hundred twenty-one billion, three hundred thirty-one million, forty-three thousand, two hundred twenty-nine".