Search a number
-
+
110211112202112 = 2732472035518473
BaseRepresentation
bin11001000011110010000110…
…001100010110111110000000
3112110020002010220101211012200
4121003302012030112332000
5103421144324210431422
61030222141434553200
732133330046602345
oct3103620614267600
9473202126354180
10110211112202112
11321312a77052a9
121043b79a598800
134965b2b84174c
141d30363b7c7cc
15cb1c9d4db2ac
hex643c86316f80

110211112202112 has 96 divisors (see below), whose sum is σ = 323891699582880. Its totient is φ = 35955398289408.

The previous prime is 110211112202083. The next prime is 110211112202123. The reversal of 110211112202112 is 211202211112011.

It is a happy number.

110211112202112 is a `hidden beast` number, since 1 + 10 + 211 + 11 + 220 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017705093 + ... + 1017813380.

It is an arithmetic number, because the mean of its divisors is an integer number (3373871870655).

Almost surely, 2110211112202112 is an apocalyptic number.

110211112202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110211112202112 is an abundant number, since it is smaller than the sum of its proper divisors (213680587380768).

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

110211112202112 is a wasteful number, since it uses less digits than its factorization.

110211112202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035518540 (or 2035518525 counting only the distinct ones).

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

Adding to 110211112202112 its reverse (211202211112011), we get a palindrome (321413323314123).

The spelling of 110211112202112 in words is "one hundred ten trillion, two hundred eleven billion, one hundred twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 376 384 423 564 576 752 846 1128 1152 1504 1692 2256 3008 3384 4512 6016 6768 9024 13536 18048 27072 54144 2035518473 4071036946 6106555419 8142073892 12213110838 16284147784 18319666257 24426221676 32568295568 36639332514 48852443352 65136591136 73278665028 95669368231 97704886704 130273182272 146557330056 191338736462 195409773408 260546364544 287008104693 293114660112 382677472924 390819546816 574016209386 586229320224 765354945848 781639093632 861024314079 1148032418772 1172458640448 1530709891696 1722048628158 2296064837544 2344917280896 3061419783392 3444097256316 4592129675088 6122839566784 6888194512632 9184259350176 12245679133568 13776389025264 18368518700352 27552778050528 36737037400704 55105556101056 110211112202112