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112112112103002 = 232111751716441157
BaseRepresentation
bin11001011111011100100010…
…100111011110111001011010
3112200221210221212002120002100
4121133130202213132321122
5104143321101144244002
61034235332052144230
732420555436261024
oct3137344247367132
9480853855076070
10112112112103002
11327a4530586360
12106a80b3608076
134a7318579a3cb
141d983802d1014
15ce645ee4111c
hex65f7229dee5a

112112112103002 has 96 divisors (see below), whose sum is σ = 280634349138624. Its totient is φ = 31968745459200.

The previous prime is 112112112102997. The next prime is 112112112103127. The reversal of 112112112103002 is 200301211211211.

It is a happy number.

112112112103002 is a `hidden beast` number, since 1 + 1 + 211 + 211 + 210 + 30 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14185008 + ... + 20626164.

It is an arithmetic number, because the mean of its divisors is an integer number (2923274470194).

Almost surely, 2112112112103002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112112103002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140317174569312).

112112112103002 is an abundant number, since it is smaller than the sum of its proper divisors (168522237035622).

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

112112112103002 is a wasteful number, since it uses less digits than its factorization.

112112112103002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446364 (or 6446361 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112112112103002 its reverse (200301211211211), we get a palindrome (312413323314213).

The spelling of 112112112103002 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twelve million, one hundred three thousand, two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 5171 10342 15513 31026 46539 56881 87907 93078 113762 170643 175814 263721 341286 511929 527442 791163 966977 1023858 1582326 1933954 2900931 5801862 6441157 8702793 12882314 17405586 19323471 38646942 57970413 70852727 109499669 115940826 141705454 212558181 218999338 328499007 425116362 637674543 656998014 985497021 1204496359 1275349086 1970994042 2408992718 3613489077 7226978154 10840467231 21680934462 33307222847 66614445694 99921668541 199843337082 299765005623 366379451317 566222788399 599530011246 732758902634 1099138353951 1132445576798 1698668365197 2198276707902 3297415061853 3397336730394 5096005095591 6228450672389 6594830123706 10192010191182 12456901344778 18685352017167 37370704034334 56056056051501 112112112103002