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111121300212 = 223134359280771
BaseRepresentation
bin110011101111101011…
…0000111101011110100
3101121211020022221002120
41213133112013223310
53310034023101322
6123014243035540
711012455316166
oct1473726075364
9347736287076
10111121300212
11431430935aa
121965236bbb0
13a62b8c7a60
1455420a8936
152d55789a5c
hex19df587af4

111121300212 has 96 divisors (see below), whose sum is σ = 290565327360. Its totient is φ = 32829874560.

The previous prime is 111121300189. The next prime is 111121300229. The reversal of 111121300212 is 212003121111.

It is a junction number, because it is equal to n+sod(n) for n = 111121300191 and 111121300200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255387 + ... + 536157.

It is an arithmetic number, because the mean of its divisors is an integer number (3026722160).

Almost surely, 2111121300212 is an apocalyptic number.

111121300212 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 111121300212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145282663680).

111121300212 is an abundant number, since it is smaller than the sum of its proper divisors (179444027148).

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

111121300212 is a wasteful number, since it uses less digits than its factorization.

111121300212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280893 (or 280891 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 111121300212 its reverse (212003121111), we get a palindrome (323124421323).

The spelling of 111121300212 in words is "one hundred eleven billion, one hundred twenty-one million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 59 78 86 118 129 156 172 177 236 258 354 516 559 708 767 1118 1534 1677 2236 2301 2537 3068 3354 4602 5074 6708 7611 9204 10148 15222 30444 32981 65962 98943 131924 197886 280771 395772 561542 842313 1123084 1684626 3369252 3650023 7300046 10950069 12073153 14600092 16565489 21900138 24146306 33130978 36219459 43800276 48292612 49696467 66261956 72438918 99392934 144877836 156950989 198785868 215351357 313901978 430702714 470852967 627803956 646054071 712316027 861405428 941705934 1292108142 1424632054 1883411868 2136948081 2584216284 2849264108 4273896162 8547792324 9260108351 18520216702 27780325053 37040433404 55560650106 111121300212