Search a number
-
+
22102221022122 = 23191290715021239
BaseRepresentation
bin1010000011010000100110…
…00010000110001110101010
32220020221200210012022110010
411001220103002012032222
510344110322040201442
6115001341542232350
74440555432621423
oct501502302061652
986227623168403
1022102221022122
11705155462179a
12258b6851256b6
13c442cc5398c7
14565a78b1c64a
15284de206db9c
hex141a130863aa

22102221022122 has 32 divisors (see below), whose sum is σ = 46534599820800. Its totient is φ = 6979107514608.

The previous prime is 22102221022099. The next prime is 22102221022129. The reversal of 22102221022122 is 22122012220122.

It is a super-3 number, since 3×221022210221223 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22102221022129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6039222 + ... + 8982017.

It is an arithmetic number, because the mean of its divisors is an integer number (1454206244400).

Almost surely, 222102221022122 is an apocalyptic number.

22102221022122 is an abundant number, since it is smaller than the sum of its proper divisors (24432378798678).

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

22102221022122 is a wasteful number, since it uses less digits than its factorization.

22102221022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15034170.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22102221022122 its reverse (22122012220122), we get a palindrome (44224233242244).

The spelling of 22102221022122 in words is "twenty-two trillion, one hundred two billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 114 12907 25814 38721 77442 245233 490466 735699 1471398 15021239 30042478 45063717 90127434 285403541 570807082 856210623 1712421246 193879131773 387758263546 581637395319 1163274790638 3683703503687 7367407007374 11051110511061 22102221022122