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220111021000249 is a prime number
BaseRepresentation
bin110010000011000010010111…
…001101111100011000111001
31001212100102000111200201122021
4302003002113031330120321
5212322244332334001444
62100045335044554441
764235332202304121
oct6203022715743071
91055312014621567
10220111021000249
1164152618088055
122082aba76b2a21
1395a84c3450472
143c4d6048bbc81
151a6a8d599b584
hexc8309737c639

220111021000249 has 2 divisors, whose sum is σ = 220111021000250. Its totient is φ = 220111021000248.

The previous prime is 220111021000231. The next prime is 220111021000289. The reversal of 220111021000249 is 942000120111022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220101555072400 + 9465927849 = 14835820^2 + 97293^2 .

It is a cyclic number.

It is not a de Polignac number, because 220111021000249 - 27 = 220111021000121 is a prime.

It is not a weakly prime, because it can be changed into another prime (220111021000229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110055510500124 + 110055510500125.

It is an arithmetic number, because the mean of its divisors is an integer number (110055510500125).

Almost surely, 2220111021000249 is an apocalyptic number.

It is an amenable number.

220111021000249 is a deficient number, since it is larger than the sum of its proper divisors (1).

220111021000249 is an equidigital number, since it uses as much as digits as its factorization.

220111021000249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 220111021000249 in words is "two hundred twenty trillion, one hundred eleven billion, twenty-one million, two hundred forty-nine", and thus it is an aban number.