Search a number
-
+
21112212000181 is a prime number
BaseRepresentation
bin1001100110011100100011…
…11001011000110110110101
32202202022022100120011022111
410303032101321120312311
510231400302233001211
6112522452153131021
74306210203030331
oct463162171306665
982668270504274
1021112212000181
1167aa703309565
12244b8310b9a71
13ba1b4711cc03
1452db9d56a7c1
1526929c9d2421
hex133391e58db5

21112212000181 has 2 divisors, whose sum is σ = 21112212000182. Its totient is φ = 21112212000180.

The previous prime is 21112212000169. The next prime is 21112212000221. The reversal of 21112212000181 is 18100021221112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19793467530225 + 1318744469956 = 4448985^2 + 1148366^2 .

It is a cyclic number.

It is not a de Polignac number, because 21112212000181 - 27 = 21112212000053 is a prime.

It is a super-2 number, since 2×211122120001812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21112212000151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10556106000090 + 10556106000091.

It is an arithmetic number, because the mean of its divisors is an integer number (10556106000091).

Almost surely, 221112212000181 is an apocalyptic number.

It is an amenable number.

21112212000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112212000181 is an equidigital number, since it uses as much as digits as its factorization.

21112212000181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 21112212000181 its reverse (18100021221112), we get a palindrome (39212233221293).

The spelling of 21112212000181 in words is "twenty-one trillion, one hundred twelve billion, two hundred twelve million, one hundred eighty-one", and thus it is an aban number.