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22111111221122 = 27211139147562841
BaseRepresentation
bin1010000011100001001001…
…11011100000111110000010
32220021210122100200012210202
411001300210323200332002
510344232023433033442
6115005412042125202
74441321643230100
oct501604473407602
986253570605722
1022111111221122
1170552a69378a0
1225913464b0802
13c450b83242a1
1456627d710c70
152852627abc32
hex141c24ee0f82

22111111221122 has 48 divisors (see below), whose sum is σ = 42391853249760. Its totient is φ = 8552742206400.

The previous prime is 22111111221061. The next prime is 22111111221137. The reversal of 22111111221122 is 22112211111122.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22111111221094 and 22111111221103.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 73631579 + ... + 73931262.

It is an arithmetic number, because the mean of its divisors is an integer number (883163609370).

Almost surely, 222111111221122 is an apocalyptic number.

22111111221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22111111221122 is a deficient number, since it is larger than the sum of its proper divisors (20280742028638).

22111111221122 is a wasteful number, since it uses less digits than its factorization.

22111111221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147563007 (or 147563000 counting only the distinct ones).

The product of its digits is 64, while the sum is 20.

Adding to 22111111221122 its reverse (22112211111122), we get a palindrome (44223322332244).

The spelling of 22111111221122 in words is "twenty-two trillion, one hundred eleven billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 49 77 98 139 154 278 539 973 1078 1529 1946 3058 6811 10703 13622 21406 74921 149842 147562841 295125682 1032939887 1623191251 2065879774 3246382502 7230579209 11362338757 14461158418 20511234899 22724677514 41022469798 79536371299 143578644293 159072742598 225623583889 287157288586 451247167778 1005050510051 1579365087223 2010101020102 3158730174446 11055555610561 22111111221122