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211122022221 = 32112971998637
BaseRepresentation
bin1100010010011111011…
…0100110011101001101
3202011221110022221202100
43010213312212131031
511424334214202341
6240553233345313
721152541402525
oct3044766463515
9664843287670
10211122022221
1181599972100
1234b00408239
1316ba75cb006
14a30b276685
155759ab83b6
hex3127da674d

211122022221 has 36 divisors (see below), whose sum is σ = 338653219996. Its totient is φ = 126633576960.

The previous prime is 211122022187. The next prime is 211122022229. The reversal of 211122022221 is 122220221112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 101305341225 + 109816680996 = 318285^2 + 331386^2 .

It is not a de Polignac number, because 211122022221 - 26 = 211122022157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211122022194 and 211122022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122022229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 893686 + ... + 1104951.

Almost surely, 2211122022221 is an apocalyptic number.

It is an amenable number.

211122022221 is a deficient number, since it is larger than the sum of its proper divisors (127531197775).

211122022221 is a wasteful number, since it uses less digits than its factorization.

211122022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998762 (or 1998748 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211122022221 its reverse (122220221112), we get a palindrome (333342243333).

The spelling of 211122022221 in words is "two hundred eleven billion, one hundred twenty-two million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 97 99 121 291 363 873 1067 1089 3201 9603 11737 35211 105633 1998637 5995911 17987733 21985007 65955021 193867789 197865063 241835077 581603367 725505231 1744810101 2132545679 2176515693 6397637037 19192911111 23458002469 70374007407 211122022221