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111414252 = 223193747281
BaseRepresentation
bin1101010010000…
…00101111101100
321202122102121210
412221000233230
5212010224002
615015554420
72522001615
oct651005754
9252572553
10111414252
11579881a4
123138ba10
131a10bcc1
1410b22c0c
159bab96c
hex6a40bec

111414252 has 96 divisors (see below), whose sum is σ = 288046080. Its totient is φ = 33384960.

The previous prime is 111414223. The next prime is 111414263. The reversal of 111414252 is 252414111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396352 + ... + 396632.

It is an arithmetic number, because the mean of its divisors is an integer number (3000480).

Almost surely, 2111414252 is an apocalyptic number.

111414252 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 111414252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144023040).

111414252 is an abundant number, since it is smaller than the sum of its proper divisors (176631828).

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

111414252 is a wasteful number, since it uses less digits than its factorization.

111414252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 111414252 is about 10555.2949745613. The cubic root of 111414252 is about 481.1866645835.

Adding to 111414252 its reverse (252414111), we get a palindrome (363828363).

The spelling of 111414252 in words is "one hundred eleven million, four hundred fourteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 37 38 47 57 74 76 94 111 114 141 148 188 222 228 281 282 444 562 564 703 843 893 1124 1406 1686 1739 1786 2109 2679 2812 3372 3478 3572 4218 5217 5339 5358 6956 8436 10397 10434 10678 10716 13207 16017 20794 20868 21356 26414 31191 32034 33041 39621 41588 52828 62382 64068 66082 79242 99123 124764 132164 158484 197543 198246 250933 395086 396492 488659 501866 592629 752799 790172 977318 1003732 1185258 1465977 1505598 1954636 2370516 2931954 3011196 5863908 9284521 18569042 27853563 37138084 55707126 111414252