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22100104324305 = 3257594872441759
BaseRepresentation
bin1010000011001100101001…
…10111100010010011010001
32220020202020021020220220200
411001212110313202103101
510344042003201334210
6115000351530125413
74440452121160650
oct501462467422321
986222207226820
1022100104324305
117050668819357
12258b194280869
13c44052b536a7
14565917967197
15284d1b3090c0
hex141994de24d1

22100104324305 has 96 divisors (see below), whose sum is σ = 44612713267200. Its totient is φ = 9911271528576.

The previous prime is 22100104324297. The next prime is 22100104324369. The reversal of 22100104324305 is 50342340100122.

22100104324305 is a `hidden beast` number, since 2 + 21 + 0 + 0 + 10 + 4 + 324 + 305 = 666.

It is not a de Polignac number, because 22100104324305 - 23 = 22100104324297 is a prime.

It is a super-2 number, since 2×221001043243052 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7830016 + ... + 10271774.

It is an arithmetic number, because the mean of its divisors is an integer number (464715763200).

Almost surely, 222100104324305 is an apocalyptic number.

It is an amenable number.

22100104324305 is an abundant number, since it is smaller than the sum of its proper divisors (22512608942895).

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

22100104324305 is a wasteful number, since it uses less digits than its factorization.

22100104324305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442323 (or 2442320 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22100104324305 its reverse (50342340100122), we get a palindrome (72442444424427).

The spelling of 22100104324305 in words is "twenty-two trillion, one hundred billion, one hundred four million, three hundred twenty-four thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 59 63 105 177 295 315 413 487 531 885 1239 1461 2065 2435 2655 3409 3717 4383 6195 7305 10227 17045 18585 21915 28733 30681 51135 86199 143665 153405 201131 258597 430995 603393 1005655 1292985 1810179 2441759 3016965 7325277 9050895 12208795 17092313 21975831 36626385 51276939 85461565 109879155 144063781 153830817 256384695 432191343 720318905 769154085 1008446467 1189136633 1296574029 2160956715 3025339401 3567409899 5042232335 5945683165 6482870145 8323956431 9076018203 10702229697 15126697005 17837049495 24971869293 41619782155 45380091015 53511148485 70159061347 74915607879 124859346465 210477184041 350795306735 374578039395 491113429429 631431552123 1052385920205 1473340288287 2455567147145 3157157760615 4420020864861 7366701441435 22100104324305