Search a number
-
+
22121323303122 = 23315116971598669
BaseRepresentation
bin1010000011110100001011…
…00111100001000011010010
32220022210000001111201202000
411001322011213201003102
510344413432231144442
6115014221242334430
74442133004416651
oct501720547410322
986283001451660
1022121323303122
11705966733718a
1225933164ba416
13c46054c39164
1456696babd198
1528565e0add4c
hex141e859e10d2

22121323303122 has 64 divisors (see below), whose sum is σ = 49513239878400. Its totient is φ = 7320620505600.

The previous prime is 22121323303111. The next prime is 22121323303187. The reversal of 22121323303122 is 22130332312122.

22121323303122 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 13 + 2 + 330 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13038004 + ... + 14636672.

It is an arithmetic number, because the mean of its divisors is an integer number (773644373100).

Almost surely, 222121323303122 is an apocalyptic number.

22121323303122 is an abundant number, since it is smaller than the sum of its proper divisors (27391916575278).

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

22121323303122 is a wasteful number, since it uses less digits than its factorization.

22121323303122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600528 (or 1600522 counting only the distinct ones).

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

Adding to 22121323303122 its reverse (22130332312122), we get a palindrome (44251655615244).

The spelling of 22121323303122 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred twenty-three million, three hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 151 302 453 906 1359 1697 2718 3394 4077 5091 8154 10182 15273 30546 45819 91638 256247 512494 768741 1537482 1598669 2306223 3197338 4612446 4796007 6918669 9592014 13837338 14388021 28776042 43164063 86328126 241399019 482798038 724197057 1448394114 2172591171 2712941293 4345182342 5425882586 6517773513 8138823879 13035547026 16277647758 24416471637 48832943274 73249414911 146498829822 409654135243 819308270486 1228962405729 2457924811458 3686887217187 7373774434374 11060661651561 22121323303122