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220111021000181 is a prime number
BaseRepresentation
bin110010000011000010010111…
…001101111100010111110101
31001212100102000111200201112202
4302003002113031330113311
5212322244332334001211
62100045335044554245
764235332202303663
oct6203022715742765
91055312014621482
10220111021000181
1164152618087aa3
122082aba76b2985
1395a84c345041c
143c4d6048bbc33
151a6a8d599b53b
hexc8309737c5f5

220111021000181 has 2 divisors, whose sum is σ = 220111021000182. Its totient is φ = 220111021000180.

The previous prime is 220111021000177. The next prime is 220111021000201. The reversal of 220111021000181 is 181000120111022.

It is a happy number.

It is an a-pointer prime, because the next prime (220111021000201) can be obtained adding 220111021000181 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149773294476100 + 70337726524081 = 12238190^2 + 8386759^2 .

It is a cyclic number.

It is not a de Polignac number, because 220111021000181 - 22 = 220111021000177 is a prime.

It is a super-2 number, since 2×2201110210001812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220111021000121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110055510500090 + 110055510500091.

It is an arithmetic number, because the mean of its divisors is an integer number (110055510500091).

Almost surely, 2220111021000181 is an apocalyptic number.

It is an amenable number.

220111021000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

220111021000181 is an equidigital number, since it uses as much as digits as its factorization.

220111021000181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

The spelling of 220111021000181 in words is "two hundred twenty trillion, one hundred eleven billion, twenty-one million, one hundred eighty-one", and thus it is an aban number.