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111301400 = 23527107743
BaseRepresentation
bin1101010001001…
…01001100011000
321202102200211002
412220211030120
5211443121100
615013324132
72521021610
oct650451430
9252380732
10111301400
1157910431
1231336648
131a09c822
1410ad3a40
159b882d5
hex6a25318

111301400 has 96 divisors (see below), whose sum is σ = 298909440. Its totient is φ = 37752960.

The previous prime is 111301367. The next prime is 111301417. The reversal of 111301400 is 4103111.

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 23 ways as a sum of consecutive naturals, for example, 149429 + ... + 150171.

It is an arithmetic number, because the mean of its divisors is an integer number (3113640).

Almost surely, 2111301400 is an apocalyptic number.

111301400 is a gapful number since it is divisible by the number (10) 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 111301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149454720).

111301400 is an abundant number, since it is smaller than the sum of its proper divisors (187608040).

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

111301400 is a wasteful number, since it uses less digits than its factorization.

111301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 111301400 is about 10549.9478671698. The cubic root of 111301400 is about 481.0241443153.

Adding to 111301400 its reverse (4103111), we get a palindrome (115404511).

The spelling of 111301400 in words is "one hundred eleven million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 107 140 175 200 214 280 350 428 535 700 743 749 856 1070 1400 1486 1498 2140 2675 2972 2996 3715 3745 4280 5201 5350 5944 5992 7430 7490 10402 10700 14860 14980 18575 18725 20804 21400 26005 29720 29960 37150 37450 41608 52010 74300 74900 79501 104020 130025 148600 149800 159002 208040 260050 318004 397505 520100 556507 636008 795010 1040200 1113014 1590020 1987525 2226028 2782535 3180040 3975050 4452056 5565070 7950100 11130140 13912675 15900200 22260280 27825350 55650700 111301400