Search a number
-
+
110022112202200 = 235211130138439701
BaseRepresentation
bin11001000001000010000100…
…111010100100110111011000
3112102120000022011120001001221
4121001002010322210313120
5103410100241210432300
61025555243253021424
732113556335241422
oct3101020472446730
9472500264501057
10110022112202200
1132069130081a70
121040b032924874
13495106b449c83
141d2515496b812
15cabddab0631a
hex641084ea4dd8

110022112202200 has 96 divisors (see below), whose sum is σ = 279270585382320. Its totient is φ = 39977288000000.

The previous prime is 110022112202129. The next prime is 110022112202221. The reversal of 110022112202200 is 2202211220011.

It is a happy number.

It is a super-2 number, since 2×1100221122022002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16357651 + ... + 22082050.

Almost surely, 2110022112202200 is an apocalyptic number.

110022112202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110022112202200 is an abundant number, since it is smaller than the sum of its proper divisors (169248473180120).

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

110022112202200 is a wasteful number, since it uses less digits than its factorization.

110022112202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38441029 (or 38441020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110022112202200 its reverse (2202211220011), we get a palindrome (112224323422211).

The spelling of 110022112202200 in words is "one hundred ten trillion, twenty-two billion, one hundred twelve million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1301 2200 2602 5204 6505 10408 13010 14311 26020 28622 32525 52040 57244 65050 71555 114488 130100 143110 260200 286220 357775 572440 715550 1431100 2862200 38439701 76879402 153758804 192198505 307517608 384397010 422836711 768794020 845673422 960992525 1537588040 1691346844 1921985050 2114183555 3382693688 3843970100 4228367110 7687940200 8456734220 10570917775 16913468440 21141835550 42283671100 50010051001 84567342200 100020102002 200040204004 250050255005 400080408008 500100510010 550110561011 1000201020020 1100221122022 1250251275025 2000402040040 2200442244044 2500502550050 2750552805055 4400884488088 5001005100100 5501105610110 10002010200200 11002211220220 13752764025275 22004422440440 27505528050550 55011056101100 110022112202200