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110022110102000 = 245379696342469
BaseRepresentation
bin11001000001000010000100…
…110010100100000111110000
3112102120000022000121100010202
4121001002010302210013300
5103410100240141231000
61025555243140014332
732113556311343405
oct3101020462440760
9472500260540122
10110022110102000
1132069129978068
121040b0320913a8
13495106ab93055
141d251545822ac
15cabdda83ddd5
hex641084ca41f0

110022110102000 has 80 divisors (see below), whose sum is σ = 269400974793600. Its totient is φ = 43451770003200.

The previous prime is 110022110101951. The next prime is 110022110102057. The reversal of 110022110102000 is 201011220011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1100221101020002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348013235 + ... + 348329234.

It is an arithmetic number, because the mean of its divisors is an integer number (3367512184920).

Almost surely, 2110022110102000 is an apocalyptic number.

110022110102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110022110102000 is an abundant number, since it is smaller than the sum of its proper divisors (159378864691600).

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

110022110102000 is an equidigital number, since it uses as much as digits as its factorization.

110022110102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696342571 (or 696342555 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110022110102000 its reverse (201011220011), we get a palindrome (110223121322011).

The spelling of 110022110102000 in words is "one hundred ten trillion, twenty-two billion, one hundred ten million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 632 790 1000 1264 1580 1975 2000 3160 3950 6320 7900 9875 15800 19750 31600 39500 79000 158000 696342469 1392684938 2785369876 3481712345 5570739752 6963424690 11141479504 13926849380 17408561725 27853698760 34817123450 55011055051 55707397520 69634246900 87042808625 110022110102 139268493800 174085617250 220044220204 275055275255 278536987600 348171234500 440088440408 550110550510 696342469000 880176880816 1100221101020 1375276376275 1392684938000 2200442202040 2750552752550 4400884404080 5501105505100 6876381881375 11002211010200 13752763762750 22004422020400 27505527525500 55011055051000 110022110102000