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221211022111211 = 11710314821191027
BaseRepresentation
bin110010010011000010110100…
…011001001011000111101011
31002000020120022110211221022202
4302103002310121023013223
5212443310133130024321
62102250535102210415
764410653226416456
oct6223026431130753
91060216273757282
10221211022111211
11645370820277a0
1220988217883a0b
1396581575272c2
143c8a95619449d
151a893165bb70b
hexc930b464b1eb

221211022111211 has 16 divisors (see below), whose sum is σ = 241372637779968. Its totient is φ = 201057997826400.

The previous prime is 221211022111199. The next prime is 221211022111223. The reversal of 221211022111211 is 112111220112122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221211022111199) and next prime (221211022111223).

It is not a de Polignac number, because 221211022111211 - 26 = 221211022111147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221211022111291) 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 in 15 ways as a sum of consecutive naturals, for example, 1157913680 + ... + 1158104706.

It is an arithmetic number, because the mean of its divisors is an integer number (15085789861248).

Almost surely, 2221211022111211 is an apocalyptic number.

221211022111211 is a deficient number, since it is larger than the sum of its proper divisors (20161615668757).

221211022111211 is a wasteful number, since it uses less digits than its factorization.

221211022111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212962.

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

Adding to 221211022111211 its reverse (112111220112122), we get a palindrome (333322242223333).

The spelling of 221211022111211 in words is "two hundred twenty-one trillion, two hundred eleven billion, twenty-two million, one hundred eleven thousand, two hundred eleven".

Divisors: 1 11 7103 14821 78133 163031 191027 2101297 105273563 1158009193 1356864781 2831211167 14925512591 31143322837 20110092919201 221211022111211