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2122122021221 = 101109192762469
BaseRepresentation
bin11110111000011000010…
…101000100100101100101
321111212120022222022100002
4132320120111010211211
5234232101214134341
64302520035431045
7306214106362166
oct36703025044545
97455508868302
102122122021221
11748a94614954
122a3346455485
131251662799a7
14749d597576d
153a3043ea29b
hex1ee18544965

2122122021221 has 8 divisors (see below), whose sum is σ = 2162794913400. Its totient is φ = 2081834654400.

The previous prime is 2122122021181. The next prime is 2122122021241. The reversal of 2122122021221 is 1221202212212.

It can be written as a sum of positive squares in 4 ways, for example, as 356707562500 + 1765414458721 = 597250^2 + 1328689^2 .

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 2122122021221 - 234 = 2104942152037 is a prime.

It is a super-2 number, since 2×21221220212212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2122122021193 and 2122122021202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122122021241) 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, 96370226 + ... + 96392243.

It is an arithmetic number, because the mean of its divisors is an integer number (270349364175).

Almost surely, 22122122021221 is an apocalyptic number.

It is an amenable number.

2122122021221 is a deficient number, since it is larger than the sum of its proper divisors (40672892179).

2122122021221 is a wasteful number, since it uses less digits than its factorization.

2122122021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192762679.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2122122021221 its reverse (1221202212212), we get a palindrome (3343324233433).

The spelling of 2122122021221 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 101 109 11009 192762469 19469009369 21011109121 2122122021221