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111000221112 = 233113759319163
BaseRepresentation
bin110011101100000100…
…0001111010110111000
3101121111210111110210110
41213120020033112320
53304312024033422
6122554235544320
711006455211664
oct1473010172670
9347453443713
10111000221112
1143090805030
12196198bb0a0
13a60c7b3911
14552dd8b8a4
152d49d1e60c
hex19d820f5b8

111000221112 has 128 divisors (see below), whose sum is σ = 311450261760. Its totient is φ = 32670443520.

The previous prime is 111000221071. The next prime is 111000221131. The reversal of 111000221112 is 211122000111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5782843 + ... + 5802005.

It is an arithmetic number, because the mean of its divisors is an integer number (2433205170).

Almost surely, 2111000221112 is an apocalyptic number.

111000221112 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 111000221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155725130880).

111000221112 is an abundant number, since it is smaller than the sum of its proper divisors (200450040648).

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

111000221112 is a wasteful number, since it uses less digits than its factorization.

111000221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19813 (or 19809 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111000221112 its reverse (211122000111), we get a palindrome (322122221223).

The spelling of 111000221112 in words is "one hundred eleven billion, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 593 814 888 1186 1221 1628 1779 2372 2442 3256 3558 4744 4884 6523 7116 9768 13046 14232 19163 19569 21941 26092 38326 39138 43882 52184 57489 65823 76652 78276 87764 114978 131646 153304 156552 175528 210793 229956 241351 263292 421586 459912 482702 526584 632379 709031 724053 843172 965404 1264758 1418062 1448106 1686344 1930808 2127093 2529516 2836124 2896212 4254186 5059032 5672248 5792424 7799341 8508372 11363659 15598682 17016744 22727318 23398023 31197364 34090977 45454636 46796046 62394728 68181954 90909272 93592092 125000249 136363908 187184184 250000498 272727816 375000747 420455383 500000996 750001494 840910766 1000001992 1261366149 1500002988 1681821532 2522732298 3000005976 3363643064 4625009213 5045464596 9250018426 10090929192 13875027639 18500036852 27750055278 37000073704 55500110556 111000221112