Search a number
-
+
10221112221021 = 321387359933513
BaseRepresentation
bin1001010010111100100111…
…0000110101110101011101
31100012010110212212212222200
42110233021300311311131
52314430314212033041
633423303015202113
72103310455251142
oct224571160656535
940163425785880
1010221112221021
113290827426369
121190b05976339
13591b013c1770
142749c10d63c9
1512ad1bad01b6
hex94bc9c35d5d

10221112221021 has 12 divisors (see below), whose sum is σ = 15899507899548. Its totient is φ = 6289915212864.

The previous prime is 10221112221013. The next prime is 10221112221041. The reversal of 10221112221021 is 12012221112201.

10221112221021 is a `hidden beast` number, since 102 + 211 + 122 + 210 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6440378084100 + 3780734136921 = 2537790^2 + 1944411^2 .

It is not a de Polignac number, because 10221112221021 - 23 = 10221112221013 is a prime.

It is a super-2 number, since 2×102211122210212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221112220985 and 10221112221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221112221041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43679966640 + ... + 43679966873.

It is an arithmetic number, because the mean of its divisors is an integer number (1324958991629).

Almost surely, 210221112221021 is an apocalyptic number.

It is an amenable number.

10221112221021 is a deficient number, since it is larger than the sum of its proper divisors (5678395678527).

10221112221021 is a wasteful number, since it uses less digits than its factorization.

10221112221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87359933532 (or 87359933529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221112221021 its reverse (12012221112201), we get a palindrome (22233333333222).

The spelling of 10221112221021 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 13 39 117 87359933513 262079800539 786239401617 1135679135669 3407037407007 10221112221021