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111212212110 = 235172383114229
BaseRepresentation
bin110011110010011000…
…0111010111110001110
3101122001120101201202220
41213210300322332032
53310230311241420
6123031251400210
711014641130356
oct1474460727616
9348046351686
10111212212110
114318a437aaa
12196788b3066
13a6446a8a8c
1455501b1b66
152d5d746840
hex19e4c3af8e

111212212110 has 128 divisors (see below), whose sum is σ = 298452833280. Its totient is φ = 26376615936.

The previous prime is 111212212109. The next prime is 111212212129. The reversal of 111212212110 is 11212212111.

It is a happy number.

111212212110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1112122121102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 111212212110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 916476 + ... + 1030704.

It is an arithmetic number, because the mean of its divisors is an integer number (2331662760).

Almost surely, 2111212212110 is an apocalyptic number.

111212212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111212212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149226416640).

111212212110 is an abundant number, since it is smaller than the sum of its proper divisors (187240621170).

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

111212212110 is a wasteful number, since it uses less digits than its factorization.

111212212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114362.

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

Adding to 111212212110 its reverse (11212212111), we get a palindrome (122424424221).

Subtracting from 111212212110 its reverse (11212212111), we obtain a palindrome (99999999999).

The spelling of 111212212110 in words is "one hundred eleven billion, two hundred twelve million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 83 85 102 115 138 166 170 230 249 255 345 391 415 498 510 690 782 830 1173 1245 1411 1909 1955 2346 2490 2822 3818 3910 4233 5727 5865 7055 8466 9545 11454 11730 14110 19090 21165 28635 32453 42330 57270 64906 97359 114229 162265 194718 228458 324530 342687 486795 571145 685374 973590 1142290 1713435 1941893 2627267 3426870 3883786 5254534 5825679 7881801 9481007 9709465 11651358 13136335 15763602 18962014 19418930 26272670 28443021 29128395 39409005 44663539 47405035 56886042 58256790 78818010 89327078 94810070 133990617 142215105 161177119 218063161 223317695 267981234 284430210 322354238 436126322 446635390 483531357 654189483 669953085 805885595 967062714 1090315805 1308378966 1339906170 1611771190 2180631610 2417656785 3270947415 3707073737 4835313570 6541894830 7414147474 11121221211 18535368685 22242442422 37070737370 55606106055 111212212110