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22122210010112 = 210181306138993
BaseRepresentation
bin1010000011110101110100…
…11110000010010000000000
32220022212021212000010001122
411001322322132002100000
510344422241230310422
6115014445235451412
74442163662332352
oct501727236022000
986285255003048
1022122210010112
117059a8190a283
122593523456b68
13c4616685a154
14566a137790d2
152856b1d61d42
hex141eba782400

22122210010112 has 88 divisors (see below), whose sum is σ = 44482809009912. Its totient is φ = 10996118323200.

The previous prime is 22122210010099. The next prime is 22122210010133. The reversal of 22122210010112 is 21101001222122.

It can be written as a sum of positive squares in 4 ways, for example, as 1014580765696 + 21107629244416 = 1007264^2 + 4594304^2 .

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 7 ways as a sum of consecutive naturals, for example, 567318488 + ... + 567357480.

Almost surely, 222122210010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122210010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22241404504956).

22122210010112 is an abundant number, since it is smaller than the sum of its proper divisors (22360598999800).

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

22122210010112 is a wasteful number, since it uses less digits than its factorization.

22122210010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42255 (or 42237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22122210010112 its reverse (21101001222122), we get a palindrome (43223211232234).

The spelling of 22122210010112 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred ten million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 512 724 1024 1448 2896 3061 5792 6122 11584 12244 23168 24488 38993 46336 48976 77986 92672 97952 155972 185344 195904 311944 391808 554041 623888 783616 1108082 1247776 1567232 2216164 2495552 3134464 4432328 4991104 7057733 8864656 9982208 14115466 17729312 19964416 28230932 35458624 39928832 56461864 70917248 112923728 119357573 141834496 225847456 238715146 283668992 451694912 477430292 567337984 903389824 954860584 1806779648 1909721168 3613559296 3819442336 7227118592 7638884672 15277769344 21603720713 30555538688 43207441426 61111077376 86414882852 122222154752 172829765704 345659531408 691319062816 1382638125632 2765276251264 5530552502528 11061105005056 22122210010112