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21120220021122 = 2321173345556729
BaseRepresentation
bin1001100110101011011110…
…01101100100000110000010
32202210001222110001202212200
410303111233031210012002
510232013202311133442
6112530254540534030
74306612512055215
oct463255715440602
982701873052780
1021120220021122
116803042665192
1224512a6b51316
13ba2822210b41
1453031cd2177c
152695baa6434c
hex13356f364182

21120220021122 has 12 divisors (see below), whose sum is σ = 45760476712470. Its totient is φ = 7040073340368.

The previous prime is 21120220021051. The next prime is 21120220021127. The reversal of 21120220021122 is 22112002202112.

It is a happy number.

21120220021122 is a `hidden beast` number, since 211 + 2 + 0 + 220 + 0 + 211 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15349948245801 + 5770271775321 = 3917901^2 + 2402139^2 .

It is a super-2 number, since 2×211202200211222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1173345556729 = 21120220021122 / (2 + 1 + 1 + 2 + 0 + 2 + 2 + 0 + 0 + 2 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 21120220021095 and 21120220021104.

It is not an unprimeable number, because it can be changed into a prime (21120220021127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 586672778347 + ... + 586672778382.

Almost surely, 221120220021122 is an apocalyptic number.

21120220021122 is an abundant number, since it is smaller than the sum of its proper divisors (24640256691348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21120220021122 is a wasteful number, since it uses less digits than its factorization.

21120220021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173345556737 (or 1173345556734 counting only the distinct ones).

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

Adding to 21120220021122 its reverse (22112002202112), we get a palindrome (43232222223234).

The spelling of 21120220021122 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1173345556729 2346691113458 3520036670187 7040073340374 10560110010561 21120220021122