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21220220110122 = 23211731521796479
BaseRepresentation
bin1001101001100101101111…
…01011101000010100101010
32210010122002121212122012200
410310302313223220110222
510240133002322010442
6113044233505521030
74320052556564205
oct464626753502452
983118077778180
1021220220110122
116841499051140
122468754943176
13bac09aa51c37
145350c7da693c
1526bebecba34c
hex134cb7ae852a

21220220110122 has 96 divisors (see below), whose sum is σ = 50847832788480. Its totient is φ = 6341799951360.

The previous prime is 21220220110099. The next prime is 21220220110163. The reversal of 21220220110122 is 22101102202212.

It is a happy number.

21220220110122 is a `hidden beast` number, since 212 + 2 + 0 + 220 + 110 + 122 = 666.

It is a super-2 number, since 2×212202201101222 (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 = 21220220110095 and 21220220110104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219898279 + ... + 219994757.

It is an arithmetic number, because the mean of its divisors is an integer number (529664924880).

Almost surely, 221220220110122 is an apocalyptic number.

21220220110122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220220110122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25423916394240).

21220220110122 is an abundant number, since it is smaller than the sum of its proper divisors (29627612678358).

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

21220220110122 is a wasteful number, since it uses less digits than its factorization.

21220220110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111788 (or 111785 counting only the distinct ones).

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

Adding to 21220220110122 its reverse (22101102202212), we get a palindrome (43321322312334).

The spelling of 21220220110122 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1606 2409 4818 7227 14454 15217 30434 45651 91302 96479 136953 167387 192958 273906 289437 334774 502161 578874 868311 1004322 1061269 1110841 1506483 1736622 2122538 2221682 3012966 3183807 3332523 6367614 6665046 7042967 9551421 9997569 12219251 14085934 19102842 19995138 21128901 24438502 36657753 42257802 63386703 73315506 77472637 109973259 126773406 154945274 219946518 232417911 464835822 697253733 1394507466 1468120943 2936241886 4404362829 8808725658 13213088487 16149330373 26426176974 32298660746 48447991119 96895982238 107172828839 145343973357 214345657678 290687946714 321518486517 643036973034 964555459551 1178901117229 1929110919102 2357802234458 3536703351687 7073406703374 10610110055061 21220220110122