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111100102212 = 2231171101117371
BaseRepresentation
bin110011101111000010…
…1010000011001000100
3101121202202102221220110
41213132011100121010
53310013111232322
6123012204433020
711012110200351
oct1473605203104
9347682387813
10111100102212
11431321251a0
1219647248770
13a6273b5268
14553d34b628
152d5399dc0c
hex19de150644

111100102212 has 96 divisors (see below), whose sum is σ = 289625269248. Its totient is φ = 32863600000.

The previous prime is 111100102147. The next prime is 111100102213. The reversal of 111100102212 is 212201001111.

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

It is not an unprimeable number, because it can be changed into a prime (111100102213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887887 + ... + 1005257.

It is an arithmetic number, because the mean of its divisors is an integer number (3016929888).

Almost surely, 2111100102212 is an apocalyptic number.

111100102212 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 111100102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144812634624).

111100102212 is an abundant number, since it is smaller than the sum of its proper divisors (178525167036).

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

111100102212 is a wasteful number, since it uses less digits than its factorization.

111100102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117561 (or 117559 counting only the distinct ones).

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

Adding to 111100102212 its reverse (212201001111), we get a palindrome (323301103323).

It can be divided in two parts, 111100 and 102212, that added together give a palindrome (213312).

The spelling of 111100102212 in words is "one hundred eleven billion, one hundred million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 101 132 142 202 213 284 303 404 426 606 781 852 1111 1212 1562 2222 2343 3124 3333 4444 4686 6666 7171 9372 13332 14342 21513 28684 43026 78881 86052 117371 157762 234742 236643 315524 352113 469484 473286 704226 946572 1291081 1408452 2582162 3873243 5164324 7746486 8333341 11854471 15492972 16666682 23708942 25000023 33333364 35563413 47417884 50000046 71126826 91666751 100000092 130399181 142253652 183333502 260798362 275000253 366667004 391197543 521596724 550000506 782395086 841667441 1100001012 1564790172 1683334882 2525002323 3366669764 5050004646 9258341851 10100009292 18516683702 27775025553 37033367404 55550051106 111100102212