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111000012100 = 225219193330223
BaseRepresentation
bin110011101100000011…
…1011100010101000100
3101121111210002212002021
41213120013130111010
53304312000341400
6122554231252524
711006453351425
oct1473007342504
9347453085067
10111000012100
1143090681a9a
121961981a144
13a60c73c743
14552dd3564c
152d49ccc71a
hex19d81dc544

111000012100 has 72 divisors (see below), whose sum is σ = 253686957440. Its totient is φ = 42040010880.

The previous prime is 111000012073. The next prime is 111000012107. The reversal of 111000012100 is 1210000111.

It is not an unprimeable number, because it can be changed into a prime (111000012107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3657589 + ... + 3687811.

Almost surely, 2111000012100 is an apocalyptic number.

111000012100 is a gapful number since it is divisible by the number (10) 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 111000012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126843478720).

111000012100 is an abundant number, since it is smaller than the sum of its proper divisors (142686945340).

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

111000012100 is a wasteful number, since it uses less digits than its factorization.

111000012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32189 (or 32182 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 111000012100 its reverse (1210000111), we get a palindrome (112210012211).

The spelling of 111000012100 in words is "one hundred eleven billion, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 1933 3866 7732 9665 19330 30223 36727 38660 48325 60446 73454 96650 120892 146908 151115 183635 193300 302230 367270 574237 604460 734540 755575 918175 1148474 1511150 1836350 2296948 2871185 3022300 3672700 5742370 11484740 14355925 28711850 57423700 58421059 116842118 233684236 292105295 584210590 1110000121 1168421180 1460526475 2220000242 2921052950 4440000484 5550000605 5842105900 11100001210 22200002420 27750003025 55500006050 111000012100