Search a number
-
+
22310233120134 = 23223300131795537
BaseRepresentation
bin1010001001010100000011…
…00001010001110110000110
32220222211121111122202012100
411010222001201101312012
510411012324134321014
6115241102443332530
74461601242363651
oct504520141216606
986884544582170
1022310233120134
117121797a737a3
122603a57b21146
13c5aacc74667b
14571b6cd36898
1528a518acd009
hex144a81851d86

22310233120134 has 48 divisors (see below), whose sum is σ = 50442235769952. Its totient is φ = 7113166689024.

The previous prime is 22310233120121. The next prime is 22310233120223. The reversal of 22310233120134 is 43102133201322.

22310233120134 is a `hidden beast` number, since 2 + 2 + 310 + 2 + 3 + 312 + 0 + 1 + 34 = 666.

It is a super-3 number, since 3×223102331201343 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22310233120098 and 22310233120107.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11527614 + ... + 13323150.

It is an arithmetic number, because the mean of its divisors is an integer number (1050879911874).

Almost surely, 222310233120134 is an apocalyptic number.

22310233120134 is an abundant number, since it is smaller than the sum of its proper divisors (28132002649818).

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

22310233120134 is a wasteful number, since it uses less digits than its factorization.

22310233120134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825581 (or 1825578 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22310233120134 its reverse (43102133201322), we get a palindrome (65412366321456).

The spelling of 22310233120134 in words is "twenty-two trillion, three hundred ten billion, two hundred thirty-three million, one hundred twenty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 30013 60026 90039 180078 270117 540234 690299 1380598 1795537 2070897 3591074 4141794 5386611 6212691 10773222 12425382 16159833 32319666 41297351 82594702 123892053 247784106 371676159 743352318 53889451981 107778903962 161668355943 323336711886 485005067829 970010135658 1239457395563 2478914791126 3718372186689 7436744373378 11155116560067 22310233120134