Search a number
-
+
2220021122121 = 331121891135933
BaseRepresentation
bin100000010011100011100…
…100100000010001001001
321212020021002101220211000
4200103203210200101021
5242333100401401441
64415510313125213
7316251123120345
oct40234344402111
97766232356730
102220021122121
11786562058400
122ba3086b9809
1313146874526a
1479641994625
153cb33e912b6
hex204e3920449

2220021122121 has 48 divisors (see below), whose sum is σ = 3615385858560. Its totient is φ = 1345358757600.

The previous prime is 2220021122119. The next prime is 2220021122129. The reversal of 2220021122121 is 1212211200222.

It is a happy number.

It is not a de Polignac number, because 2220021122121 - 21 = 2220021122119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2220021122094 and 2220021122103.

It is not an unprimeable number, because it can be changed into a prime (2220021122129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61764271 + ... + 61800203.

It is an arithmetic number, because the mean of its divisors is an integer number (75320538720).

Almost surely, 22220021122121 is an apocalyptic number.

It is an amenable number.

2220021122121 is a deficient number, since it is larger than the sum of its proper divisors (1395364736439).

2220021122121 is a wasteful number, since it uses less digits than its factorization.

2220021122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54875 (or 54858 counting only the distinct ones).

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

Adding to 2220021122121 its reverse (1212211200222), we get a palindrome (3432232322343).

The spelling of 2220021122121 in words is "two trillion, two hundred twenty billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 18911 35933 56733 107799 170199 208021 323397 395263 510597 624063 970191 1185789 1872189 2288231 3557367 4347893 5616567 6864693 10672101 13043679 20594079 39131037 61782237 117393111 679528963 2038586889 6115760667 7474818593 18347282001 22424455779 67273367337 82223004523 201820102011 246669013569 740007040707 2220021122121