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111212102112 = 2537933614363
BaseRepresentation
bin110011110010011000…
…0100000000111100000
3101122001120012010212220
41213210300200013200
53310230244231422
6123031245151040
711014640161566
oct1474460400740
9348046163786
10111212102112
114318a3723a1
121967885b480
13a64466a9a7
145550183a36
152d5d723e5c
hex19e4c201e0

111212102112 has 96 divisors (see below), whose sum is σ = 295782842880. Its totient is φ = 36582174720.

The previous prime is 111212102083. The next prime is 111212102119. The reversal of 111212102112 is 211201212111.

It is a happy number.

111212102112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 111212102091 and 111212102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111212102119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25487643 + ... + 25492005.

It is an arithmetic number, because the mean of its divisors is an integer number (3081071280).

Almost surely, 2111212102112 is an apocalyptic number.

111212102112 is a gapful number since it is divisible by the number (12) 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 111212102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147891421440).

111212102112 is an abundant number, since it is smaller than the sum of its proper divisors (184570740768).

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

111212102112 is a wasteful number, since it uses less digits than its factorization.

111212102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111212102112 its reverse (211201212111), we get a palindrome (322413314223).

The spelling of 111212102112 in words is "one hundred eleven billion, two hundred twelve million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3361 3792 4363 6722 7584 8726 10083 13089 13444 17452 20166 26178 26888 34904 40332 52356 53776 69808 80664 104712 107552 139616 161328 209424 265519 322656 344677 418848 531038 689354 796557 1034031 1062076 1378708 1593114 2068062 2124152 2757416 3186228 4136124 4248304 5514832 6372456 8272248 8496608 11029664 12744912 14664043 16544496 25489824 29328086 33088992 43992129 58656172 87984258 117312344 175968516 234624688 351937032 469249376 703874064 1158459397 1407748128 2316918794 3475378191 4633837588 6950756382 9267675176 13901512764 18535350352 27803025528 37070700704 55606051056 111212102112