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222131203331 is a prime number
BaseRepresentation
bin1100111011100000001…
…1010010110100000011
3210020100201001022002212
43032320003102310003
512114411042001311
6250013510332335
722022422034462
oct3167003226403
9706321038085
10222131203331
1186229300894
123707335a0ab
1317c403bb56b
14aa734569d9
155ba136cc8b
hex33b80d2d03

222131203331 has 2 divisors, whose sum is σ = 222131203332. Its totient is φ = 222131203330.

The previous prime is 222131203309. The next prime is 222131203337. The reversal of 222131203331 is 133302131222.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222131203331 is a prime.

It is a super-2 number, since 2×2221312033312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222131203297 and 222131203306.

It is not a weakly prime, because it can be changed into another prime (222131203337) 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, 111065601665 + 111065601666.

It is an arithmetic number, because the mean of its divisors is an integer number (111065601666).

Almost surely, 2222131203331 is an apocalyptic number.

222131203331 is a deficient number, since it is larger than the sum of its proper divisors (1).

222131203331 is an equidigital number, since it uses as much as digits as its factorization.

222131203331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 222131203331 its reverse (133302131222), we get a palindrome (355433334553).

The spelling of 222131203331 in words is "two hundred twenty-two billion, one hundred thirty-one million, two hundred three thousand, three hundred thirty-one".