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221011002181 is a prime number
BaseRepresentation
bin1100110111010101001…
…0000100001101000101
3210010110122012012000101
43031311102010031011
512110112304032211
6245310412444101
721652600344064
oct3156522041505
9703418165011
10221011002181
1185803a49112
1236a00179631
1317ac22b6a48
14a9a877a1db
155b37d465c1
hex3375484345

221011002181 has 2 divisors, whose sum is σ = 221011002182. Its totient is φ = 221011002180.

The previous prime is 221011002137. The next prime is 221011002257. The reversal of 221011002181 is 181200110122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191997330625 + 29013671556 = 438175^2 + 170334^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221011002181 is a prime.

It is a super-2 number, since 2×2210110021812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221011002881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110505501090 + 110505501091.

It is an arithmetic number, because the mean of its divisors is an integer number (110505501091).

Almost surely, 2221011002181 is an apocalyptic number.

It is an amenable number.

221011002181 is a deficient number, since it is larger than the sum of its proper divisors (1).

221011002181 is an equidigital number, since it uses as much as digits as its factorization.

221011002181 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 19.

The spelling of 221011002181 in words is "two hundred twenty-one billion, eleven million, two thousand, one hundred eighty-one".