Search a number
-
+
22021112002113 = 36741910299109
BaseRepresentation
bin1010000000111001100001…
…00011101111011001000001
32212222012100011021012000000
411000130300203233121001
510341243214133031423
6114500205330350213
74431654453415350
oct500346043573101
985865304235000
1022021112002113
1170201126aa554
122577a09a2b369
13c39774716643
14561b82977997
15282c46536843
hex1407308ef641

22021112002113 has 56 divisors (see below), whose sum is σ = 37823275492800. Its totient is φ = 12553459151904.

The previous prime is 22021112002079. The next prime is 22021112002117. The reversal of 22021112002113 is 31120021112022.

22021112002113 is a `hidden beast` number, since 220 + 21 + 11 + 200 + 211 + 3 = 666.

It is not a de Polignac number, because 22021112002113 - 210 = 22021112001089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22021112002117) 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 55 ways as a sum of consecutive naturals, for example, 3011398 + ... + 7287711.

It is an arithmetic number, because the mean of its divisors is an integer number (675415633800).

Almost surely, 222021112002113 is an apocalyptic number.

It is an amenable number.

22021112002113 is a deficient number, since it is larger than the sum of its proper divisors (15802163490687).

22021112002113 is an equidigital number, since it uses as much as digits as its factorization.

22021112002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299553 (or 10299538 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22021112002113 its reverse (31120021112022), we get a palindrome (53141133114135).

The spelling of 22021112002113 in words is "twenty-two trillion, twenty-one billion, one hundred twelve million, two thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 27 63 81 189 243 419 567 729 1257 1701 2933 3771 5103 8799 11313 26397 33939 79191 101817 237573 305451 712719 2138157 10299109 30897327 72093763 92691981 216281289 278075943 648843867 834227829 1946531601 2502683487 4315326671 5839594803 7508050461 12945980013 17518784409 30207286697 38837940039 52556353227 90621860091 116513820117 271865580273 349541460351 815596740819 1048624381053 2446790222457 3145873143159 7340370667371 22021112002113