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20110222021122 = 2326012413777017
BaseRepresentation
bin1001001001010010001101…
…01000111101001000000010
32122012111222221122022202100
410210221012220331020002
510113441213314133442
6110434301454331230
74143626022524142
oct444510650751002
978174887568670
1020110222021122
116453774070982
1223095b47b9b16
13b2b5027a828c
144d74a8b16922
1524d1a66d784c
hex124a46a3d202

20110222021122 has 48 divisors (see below), whose sum is σ = 43647022043352. Its totient is φ = 6691889433600.

The previous prime is 20110222021103. The next prime is 20110222021229. The reversal of 20110222021122 is 22112022201102.

It is a happy number.

20110222021122 is a `hidden beast` number, since 201 + 10 + 2 + 220 + 211 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19406500688961 + 703721332161 = 4405281^2 + 838881^2 .

It is a super-2 number, since 2×201102220211222 (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).

It is a junction number, because it is equal to n+sod(n) for n = 20110222021095 and 20110222021104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261075558 + ... + 261152574.

Almost surely, 220110222021122 is an apocalyptic number.

20110222021122 is an abundant number, since it is smaller than the sum of its proper divisors (23536800022230).

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

20110222021122 is a wasteful number, since it uses less digits than its factorization.

20110222021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101763 (or 101760 counting only the distinct ones).

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

Adding to 20110222021122 its reverse (22112022201102), we get a palindrome (42222244222224).

The spelling of 20110222021122 in words is "twenty trillion, one hundred ten billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 601 1202 1803 3606 5409 10818 24137 48274 72411 77017 144822 154034 217233 231051 434466 462102 693153 1386306 14506337 29012674 43519011 46287217 87038022 92574434 130557033 138861651 261114066 277723302 416584953 833169906 1858959329 3717918658 5576877987 11153755974 16730633961 33461267922 1117234556729 2234469113458 3351703670187 6703407340374 10055111010561 20110222021122