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2212200100031 is a prime number
BaseRepresentation
bin100000001100010001011…
…001101011000010111111
321211111002000202211110012
4200030101121223002333
5242221041211200111
64412134245333435
7315553244410565
oct40142131530277
97744060684405
102212200100031
11783209314789
122b88a540727b
131307c0308a3c
14790dcd99a35
153c82754b48b
hex2031166b0bf

2212200100031 has 2 divisors, whose sum is σ = 2212200100032. Its totient is φ = 2212200100030.

The previous prime is 2212200099947. The next prime is 2212200100039. The reversal of 2212200100031 is 1300010022122.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2212200100031 is a prime.

It is a super-2 number, since 2×22122001000312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2212200099979 and 2212200100015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212200100039) 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, 1106100050015 + 1106100050016.

It is an arithmetic number, because the mean of its divisors is an integer number (1106100050016).

Almost surely, 22212200100031 is an apocalyptic number.

2212200100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212200100031 is an equidigital number, since it uses as much as digits as its factorization.

2212200100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2212200100031 its reverse (1300010022122), we get a palindrome (3512210122153).

The spelling of 2212200100031 in words is "two trillion, two hundred twelve billion, two hundred million, one hundred thousand, thirty-one".