Search a number
-
+
10222212122219 is a prime number
BaseRepresentation
bin1001010011000000101101…
…0100101000011001101011
31100012020022112112122210002
42110300023110220121223
52314440042300402334
633424004110013215
72103346642253156
oct224601324503153
940166275478702
1010222212122219
113291241283419
1211911721a720b
13591c48239486
14274a8720ac9d
1512ad83446b7e
hex94c0b52866b

10222212122219 has 2 divisors, whose sum is σ = 10222212122220. Its totient is φ = 10222212122218.

The previous prime is 10222212122147. The next prime is 10222212122231. The reversal of 10222212122219 is 91222121222201.

It is a strong prime.

It is an emirp because it is prime and its reverse (91222121222201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10222212122219 - 28 = 10222212121963 is a prime.

It is a super-2 number, since 2×102222121222192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10222212122191 and 10222212122200.

It is not a weakly prime, because it can be changed into another prime (10222212122299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111106061109 + 5111106061110.

It is an arithmetic number, because the mean of its divisors is an integer number (5111106061110).

Almost surely, 210222212122219 is an apocalyptic number.

10222212122219 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222212122219 is an equidigital number, since it uses as much as digits as its factorization.

10222212122219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 10222212122219 in words is "ten trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, two hundred nineteen".