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110200113312 = 2537116167857
BaseRepresentation
bin110011010100001110…
…0000100100010100000
3101112110000221210020020
41212220130010202200
53301142212111222
6122343014513440
710650601336122
oct1465034044240
9345400853206
10110200113312
1142810100213
1219435965880
13a512ac3953
1454959d5212
152cee97565c
hex19a87048a0

110200113312 has 48 divisors (see below), whose sum is σ = 293349615552. Its totient is φ = 36215997440.

The previous prime is 110200113301. The next prime is 110200113343. The reversal of 110200113312 is 213311002011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 110200113291 and 110200113300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8077113 + ... + 8090744.

It is an arithmetic number, because the mean of its divisors is an integer number (6111450324).

Almost surely, 2110200113312 is an apocalyptic number.

110200113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110200113312 is an abundant number, since it is smaller than the sum of its proper divisors (183149502240).

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

110200113312 is a wasteful number, since it uses less digits than its factorization.

110200113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16167941 (or 16167933 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 110200113312 its reverse (213311002011), we get a palindrome (323511115323).

The spelling of 110200113312 in words is "one hundred ten billion, two hundred million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 16167857 32335714 48503571 64671428 97007142 129342856 194014284 258685712 388028568 517371424 776057136 1147917847 1552114272 2295835694 3443753541 4591671388 6887507082 9183342776 13775014164 18366685552 27550028328 36733371104 55100056656 110200113312