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20122210019941 is a prime number
BaseRepresentation
bin1001001001101000100010…
…01011100010101001100101
32122020122221102011202120121
410210310101023202221211
510114140241231114231
6110444003215001541
74144532060035051
oct444642113425145
978218842152517
1020122210019941
116458865a75917
12230b99b5092b1
13b2c6932ca3c3
144d7cc4cccc61
1524d658d87311
hex124d112e2a65

20122210019941 has 2 divisors, whose sum is σ = 20122210019942. Its totient is φ = 20122210019940.

The previous prime is 20122210019917. The next prime is 20122210020047. The reversal of 20122210019941 is 14991001222102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14722024151041 + 5400185868900 = 3836929^2 + 2323830^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122210019941 - 25 = 20122210019909 is a prime.

It is a super-3 number, since 3×201222100199413 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20122210019897 and 20122210019906.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20122210019441) 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, 10061105009970 + 10061105009971.

It is an arithmetic number, because the mean of its divisors is an integer number (10061105009971).

Almost surely, 220122210019941 is an apocalyptic number.

It is an amenable number.

20122210019941 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122210019941 is an equidigital number, since it uses as much as digits as its factorization.

20122210019941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 20122210019941 in words is "twenty trillion, one hundred twenty-two billion, two hundred ten million, nineteen thousand, nine hundred forty-one".