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211110010100221 = 3181640131036757
BaseRepresentation
bin110000000000000011100001…
…001010010001100111111101
31000200110220211120200212011011
4300000003201022101213331
5210132311300041201341
62024554333315155221
762316123565106251
oct6000034112214775
91020426746625134
10211110010100221
11612a2286090861
121b81664b2a5b11
1390a478600819b
143a1bac984c261
1519616c8688b81
hexc000e12919fd

211110010100221 has 8 divisors (see below), whose sum is σ = 211179878679384. Its totient is φ = 211040143728960.

The previous prime is 211110010100123. The next prime is 211110010100239. The reversal of 211110010100221 is 122001010011112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20506306935321 + 190603703164900 = 4528389^2 + 13805930^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211110010100221 - 213 = 211110010092029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211110010109221) 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 in 7 ways as a sum of consecutive naturals, for example, 203106975 + ... + 204143731.

It is an arithmetic number, because the mean of its divisors is an integer number (26397484834923).

Almost surely, 2211110010100221 is an apocalyptic number.

It is an amenable number.

211110010100221 is a deficient number, since it is larger than the sum of its proper divisors (69868579163).

211110010100221 is a wasteful number, since it uses less digits than its factorization.

211110010100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103951.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211110010100221 its reverse (122001010011112), we get a palindrome (333111020111333).

The spelling of 211110010100221 in words is "two hundred eleven trillion, one hundred ten billion, ten million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3181 64013 1036757 203625353 3297924017 66365925841 211110010100221