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222222012100031 is a prime number
BaseRepresentation
bin110010100001110000011000…
…000101111010110110111111
31002010211012212002212122021202
4302201300120011322312333
5213111341140044200111
62104343214422250115
764544003422504316
oct6241603005726677
91063735762778252
10222222012100031
116489690a572979
1220b1014628693b
1396cc5a46237b8
143cc386202327d
151aa5787a95b3b
hexca1c1817adbf

222222012100031 has 2 divisors, whose sum is σ = 222222012100032. Its totient is φ = 222222012100030.

The previous prime is 222222012100027. The next prime is 222222012100097. The reversal of 222222012100031 is 130001210222222.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 222222012100031 - 22 = 222222012100027 is a prime.

It is a super-2 number, since 2×2222220121000312 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 222222012099976 and 222222012100012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222222012100831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111111006050015 + 111111006050016.

It is an arithmetic number, because the mean of its divisors is an integer number (111111006050016).

Almost surely, 2222222012100031 is an apocalyptic number.

222222012100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

222222012100031 is an equidigital number, since it uses as much as digits as its factorization.

222222012100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 222222012100031 its reverse (130001210222222), we get a palindrome (352223222322253).

The spelling of 222222012100031 in words is "two hundred twenty-two trillion, two hundred twenty-two billion, twelve million, one hundred thousand, thirty-one".