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22011320081 is a prime number
BaseRepresentation
bin10100011111111110…
…100001011100010001
32002211000011220201002
4110133332201130101
5330034344220311
614040054551345
71406314063562
oct243776413421
962730156632
1022011320081
1193758a8623
124323668555
1320ca2b666a
1410cb48a169
1588c61793b
hex51ffa1711

22011320081 has 2 divisors, whose sum is σ = 22011320082. Its totient is φ = 22011320080.

The previous prime is 22011320069. The next prime is 22011320099. The reversal of 22011320081 is 18002311022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19555225600 + 2456094481 = 139840^2 + 49559^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22011320081 is a prime.

It is a super-3 number, since 3×220113200813 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (22011320021) 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, 11005660040 + 11005660041.

It is an arithmetic number, because the mean of its divisors is an integer number (11005660041).

Almost surely, 222011320081 is an apocalyptic number.

It is an amenable number.

22011320081 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011320081 is an equidigital number, since it uses as much as digits as its factorization.

22011320081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The spelling of 22011320081 in words is "twenty-two billion, eleven million, three hundred twenty thousand, eighty-one".