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111330416 = 24174167149
BaseRepresentation
bin1101010001011…
…00010001110000
321202111011121202
412220230101300
5212000033131
615014110332
72521202321
oct650542160
9252434552
10111330416
115793020a
123134b3a8
131a0acab2
1410b00448
159b91bcb
hex6a2c470

111330416 has 80 divisors (see below), whose sum is σ = 239047200. Its totient is φ = 50012160.

The previous prime is 111330407. The next prime is 111330421. The reversal of 111330416 is 614033111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747110 + ... + 747258.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2111330416 is an apocalyptic number.

111330416 is a gapful number since it is divisible by the number (16) 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 111330416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119523600).

111330416 is an abundant number, since it is smaller than the sum of its proper divisors (127716784).

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

111330416 is a wasteful number, since it uses less digits than its factorization.

111330416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 111330416 is about 10551.3229502276. The cubic root of 111330416 is about 481.0659412854.

Adding to 111330416 its reverse (614033111), we get a palindrome (725363527).

The spelling of 111330416 in words is "one hundred eleven million, three hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 41 67 68 82 134 136 149 164 268 272 298 328 536 596 656 697 1072 1139 1192 1394 2278 2384 2533 2747 2788 4556 5066 5494 5576 6109 9112 9983 10132 10988 11152 12218 18224 19966 20264 21976 24436 39932 40528 43952 46699 48872 79864 93398 97744 103853 159728 169711 186796 207706 339422 373592 409303 415412 678844 747184 818606 830824 1357688 1637212 1661648 2715376 3274424 6548848 6958151 13916302 27832604 55665208 111330416