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22221331033393 is a prime number
BaseRepresentation
bin1010000110101110011101…
…00010101110110100110001
32220200100010202200210221001
411003113032202232310301
510403033241221032033
6115132201043202001
74452303204202462
oct503271642566461
986610122623831
1022221331033393
117098017072138
1225aa786976301
13c5260222430b
1456b737b92d69
15288063d23e7d
hex1435ce8aed31

22221331033393 has 2 divisors, whose sum is σ = 22221331033394. Its totient is φ = 22221331033392.

The previous prime is 22221331033303. The next prime is 22221331033399. The reversal of 22221331033393 is 39333013312222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21829144475889 + 392186557504 = 4672167^2 + 626248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22221331033393 is a prime.

It is not a weakly prime, because it can be changed into another prime (22221331033399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11110665516696 + 11110665516697.

It is an arithmetic number, because the mean of its divisors is an integer number (11110665516697).

Almost surely, 222221331033393 is an apocalyptic number.

It is an amenable number.

22221331033393 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221331033393 is an equidigital number, since it uses as much as digits as its factorization.

22221331033393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 37.

The spelling of 22221331033393 in words is "twenty-two trillion, two hundred twenty-one billion, three hundred thirty-one million, thirty-three thousand, three hundred ninety-three".