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221101212113 is a prime number
BaseRepresentation
bin1100110111101010101…
…0001100000111010001
3210010200220221022202222
43031322222030013101
512110303402241423
6245323354150425
721655044202565
oct3157252140721
9703626838688
10221101212113
118584a963181
1236a26422415
1317b07bb03c2
14a9b673d6a5
155b40c153c8
hex337aa8c1d1

221101212113 has 2 divisors, whose sum is σ = 221101212114. Its totient is φ = 221101212112.

The previous prime is 221101212103. The next prime is 221101212139. The reversal of 221101212113 is 311212101122.

It is a happy number.

221101212113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214770145489 + 6331066624 = 463433^2 + 79568^2 .

It is a cyclic number.

It is not a de Polignac number, because 221101212113 - 28 = 221101211857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221101212091 and 221101212100.

It is not a weakly prime, because it can be changed into another prime (221101212103) 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, 110550606056 + 110550606057.

It is an arithmetic number, because the mean of its divisors is an integer number (110550606057).

Almost surely, 2221101212113 is an apocalyptic number.

It is an amenable number.

221101212113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221101212113 is an equidigital number, since it uses as much as digits as its factorization.

221101212113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 221101212113 its reverse (311212101122), we get a palindrome (532313313235).

The spelling of 221101212113 in words is "two hundred twenty-one billion, one hundred one million, two hundred twelve thousand, one hundred thirteen".