Search a number
-
+
22112011221111 = 32719193709134999
BaseRepresentation
bin1010000011100010110101…
…00100101111100001110111
32220021212222002011221200200
411001301122210233201313
510344240344333033421
6115010041232211543
74441353152135550
oct501613244574167
986255862157620
1022112011221111
11705571896a139
122591557999bb3
13c451cc91a966
1456632706b327
152852b67d8726
hex141c5a92f877

22112011221111 has 96 divisors (see below), whose sum is σ = 38677392000000. Its totient is φ = 11891505106944.

The previous prime is 22112011221049. The next prime is 22112011221121. The reversal of 22112011221111 is 11112211021122.

It is a happy number.

22112011221111 is a `hidden beast` number, since 221 + 120 + 112 + 211 + 1 + 1 = 666.

It is not a de Polignac number, because 22112011221111 - 210 = 22112011220087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112011221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163726390 + ... + 163861388.

It is an arithmetic number, because the mean of its divisors is an integer number (402889500000).

Almost surely, 222112011221111 is an apocalyptic number.

22112011221111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22112011221111 is a deficient number, since it is larger than the sum of its proper divisors (16565380778889).

22112011221111 is a wasteful number, since it uses less digits than its factorization.

22112011221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135933 (or 135930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 22112011221111 its reverse (11112211021122), we get a palindrome (33224222242233).

The spelling of 22112011221111 in words is "twenty-two trillion, one hundred twelve billion, eleven million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 7 9 19 21 57 63 133 171 193 399 579 709 1197 1351 1737 2127 3667 4053 4963 6381 11001 12159 13471 14889 25669 33003 40413 44667 77007 94297 121239 134999 136837 231021 282891 404997 410511 848673 944993 957859 1214991 1231533 2564981 2599903 2834979 2873577 7694943 7799709 8504937 8620731 17954867 18199321 23084829 23399127 26054807 53864601 54597963 78164421 95714291 161593803 163793889 182383649 234493263 287142873 495041333 547150947 670000037 861428619 1485123999 1641452841 1818571529 2010000111 3465289331 4455371997 5455714587 6030000333 10395867993 12730000703 16367143761 18472858163 31187603979 38190002109 55418574489 114570006327 129310007141 166255723467 350984305097 387930021423 1052952915291 1163790064269 2456890135679 3158858745873 7370670407037 22112011221111