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110022112110200 = 23523131997880091
BaseRepresentation
bin11001000001000010000100…
…111010001110011001111000
3112102120000022011101100212112
4121001002010322032121320
5103410100241200011300
61025555243251031452
732113556334406253
oct3101020472163170
9472500264340775
10110022112110200
1132069130019934
121040b03289b588
13495106b417134
141d2515494609a
15cabddaad8e35
hex641084e8e678

110022112110200 has 96 divisors (see below), whose sum is σ = 256747461374160. Its totient is φ = 43846224614400.

The previous prime is 110022112110077. The next prime is 110022112110217. The reversal of 110022112110200 is 2011211220011.

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, 124572155 + ... + 125452245.

Almost surely, 2110022112110200 is an apocalyptic number.

110022112110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110022112110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128373730687080).

110022112110200 is an abundant number, since it is smaller than the sum of its proper divisors (146725349263960).

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

110022112110200 is a wasteful number, since it uses less digits than its factorization.

110022112110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882417 (or 882408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110022112110200 its reverse (2011211220011), we get a palindrome (112033323330211).

The spelling of 110022112110200 in words is "one hundred ten trillion, twenty-two billion, one hundred twelve million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 313 626 1252 1565 1997 2504 3130 3994 6260 7825 7988 9985 12520 15650 15976 19970 31300 39940 49925 62600 79880 99850 199700 399400 625061 880091 1250122 1760182 2500244 3125305 3520364 4400455 5000488 6250610 7040728 8800910 12501220 15626525 17601820 22002275 25002440 31253050 35203640 44004550 62506100 88009100 125012200 176018200 275468483 550936966 1101873932 1377342415 1757541727 2203747864 2754684830 3515083454 5509369660 6886712075 7030166908 8787708635 11018739320 13773424150 14060333816 17575417270 27546848300 35150834540 43938543175 55093696600 70301669080 87877086350 175754172700 351508345400 550110560551 1100221121102 2200442242204 2750552802755 4400884484408 5501105605510 11002211211020 13752764013775 22004422422040 27505528027550 55011056055100 110022112110200