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220022222121 = 321367223712547
BaseRepresentation
bin1100110011101001011…
…0001010110100101001
3210000220201121221202200
43030322112022310221
512101101142101441
6245024331450413
721616233013302
oct3147226126451
9700821557680
10220022222121
1185346899009
1236784bb6a09
13179954a77a0
14a91330d7a9
155acb12e7b6
hex333a58ad29

220022222121 has 48 divisors (see below), whose sum is σ = 347548079424. Its totient is φ = 133307171712.

The previous prime is 220022222117. The next prime is 220022222153. The reversal of 220022222121 is 121222220022.

220022222121 is a `hidden beast` number, since 2 + 200 + 222 + 221 + 21 = 666.

220022222121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220022222121 - 22 = 220022222117 is a prime.

It is a super-3 number, since 3×2200222221213 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220022222094 and 220022222103.

It is not an unprimeable number, because it can be changed into a prime (220022222521) 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 47 ways as a sum of consecutive naturals, for example, 17529570 + ... + 17542116.

It is an arithmetic number, because the mean of its divisors is an integer number (7240584988).

Almost surely, 2220022222121 is an apocalyptic number.

It is an amenable number.

220022222121 is a deficient number, since it is larger than the sum of its proper divisors (127525857303).

220022222121 is a wasteful number, since it uses less digits than its factorization.

220022222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14870 (or 14867 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220022222121 its reverse (121222220022), we get a palindrome (341244442143).

The spelling of 220022222121 in words is "two hundred twenty billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 67 117 201 603 871 2237 2613 6711 7839 12547 20133 29081 37641 87243 112923 149879 163111 261729 449637 489333 840649 1348911 1467999 1948427 2521947 5845281 7565841 10928437 17535843 28067639 32785311 84202917 98355933 252608751 364879307 1094637921 1880531813 3283913763 5641595439 16924786317 24446913569 73340740707 220022222121