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111400116 = 223171941701
BaseRepresentation
bin1101010001111…
…01010010110100
321202121201020020
412220331102310
5212004300431
615015405140
72521612452
oct650752264
9252551206
10111400116
1157978613
12313837b0
131a105739
1410b1b9d2
159ba7696
hex6a3d4b4

111400116 has 96 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 32256000.

The previous prime is 111400087. The next prime is 111400127. The reversal of 111400116 is 611004111.

It is a junction number, because it is equal to n+sod(n) for n = 111400095 and 111400104.

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, 158566 + ... + 159266.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2111400116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111400116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

111400116 is an abundant number, since it is smaller than the sum of its proper divisors (185798604).

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

111400116 is a wasteful number, since it uses less digits than its factorization.

111400116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 111400116 is about 10554.6253367896. The cubic root of 111400116 is about 481.1663130807.

Adding to 111400116 its reverse (611004111), we get a palindrome (722404227).

The spelling of 111400116 in words is "one hundred eleven million, four hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 19 34 38 41 51 57 68 76 82 102 114 123 164 204 228 246 323 492 646 697 701 779 969 1292 1394 1402 1558 1938 2091 2103 2337 2788 2804 3116 3876 4182 4206 4674 8364 8412 9348 11917 13243 13319 23834 26486 26638 28741 35751 39729 39957 47668 52972 53276 57482 71502 79458 79914 86223 114964 143004 158916 159828 172446 226423 344892 452846 488597 546079 679269 905692 977194 1092158 1358538 1465791 1638237 1954388 2184316 2717076 2931582 3276474 5863164 6552948 9283343 18566686 27850029 37133372 55700058 111400116