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111000012201 = 3413235977681
BaseRepresentation
bin110011101100000011…
…1011100010110101001
3101121111210002212020000
41213120013130112221
53304312000342301
6122554231253213
711006453351631
oct1473007342651
9347453085200
10111000012201
1143090682081
121961981a209
13a60c73c7c0
14552dd356c1
152d49ccc786
hex19d81dc5a9

111000012201 has 80 divisors (see below), whose sum is σ = 189494363520. Its totient is φ = 64229552640.

The previous prime is 111000012199. The next prime is 111000012203. The reversal of 111000012201 is 102210000111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111000012199) and next prime (111000012203).

It is not a de Polignac number, because 111000012201 - 21 = 111000012199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111000012203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1390081 + ... + 1467761.

It is an arithmetic number, because the mean of its divisors is an integer number (2368679544).

Almost surely, 2111000012201 is an apocalyptic number.

It is an amenable number.

111000012201 is a deficient number, since it is larger than the sum of its proper divisors (78494351319).

111000012201 is a wasteful number, since it uses less digits than its factorization.

111000012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77788 (or 77779 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111000012201 its reverse (102210000111), we get a palindrome (213210012312).

The spelling of 111000012201 in words is "one hundred eleven billion, twelve thousand, two hundred one".

Divisors: 1 3 9 13 23 27 39 59 69 81 117 177 207 299 351 531 621 767 897 1053 1357 1593 1863 2301 2691 4071 4779 6903 8073 12213 17641 20709 24219 36639 52923 62127 77681 109917 158769 233043 476307 699129 1009853 1428921 1786663 2097387 3029559 4583179 5359989 6292161 9088677 13749537 16079967 23226619 27266031 41248611 48239901 59581327 69679857 81798093 105413117 123745833 144719703 178743981 209039571 316239351 371237499 536231943 627118713 948718053 1370370521 1608695829 1881356139 2846154159 4111111563 4826087487 8538462477 12333334689 37000004067 111000012201