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11114323000 = 2353117313841
BaseRepresentation
bin10100101100111011…
…10001110000111000
31001200120120002220121
422112131301300320
5140230231314000
65034510303024
7542265121024
oct122635616070
931616502817
1011114323000
114793822410
1221a21b7a74
1310818145b1
1477614d384
15450b22b1a
hex296771c38

11114323000 has 128 divisors (see below), whose sum is σ = 28762568640. Its totient is φ = 3985920000.

The previous prime is 11114322977. The next prime is 11114323013. The reversal of 11114323000 is 32341111.

11114323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796080 + ... + 809920.

Almost surely, 211114323000 is an apocalyptic number.

11114323000 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 11114323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14381284320).

11114323000 is an abundant number, since it is smaller than the sum of its proper divisors (17648245640).

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

11114323000 is a wasteful number, since it uses less digits than its factorization.

11114323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13946 (or 13932 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11114323000 its reverse (32341111), we get a palindrome (11146664111).

The spelling of 11114323000 in words is "eleven billion, one hundred fourteen million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 73 88 100 110 125 146 200 220 250 275 292 365 440 500 550 584 730 803 1000 1100 1375 1460 1606 1825 2200 2750 2920 3212 3650 4015 5500 6424 7300 8030 9125 11000 13841 14600 16060 18250 20075 27682 32120 36500 40150 55364 69205 73000 80300 100375 110728 138410 152251 160600 200750 276820 304502 346025 401500 553640 609004 692050 761255 803000 1010393 1218008 1384100 1522510 1730125 2020786 2768200 3045020 3460250 3806275 4041572 5051965 6090040 6920500 7612550 8083144 10103930 11114323 13841000 15225100 19031375 20207860 22228646 25259825 30450200 38062750 40415720 44457292 50519650 55571615 76125500 88914584 101039300 111143230 126299125 152251000 202078600 222286460 252598250 277858075 444572920 505196500 555716150 1010393000 1111432300 1389290375 2222864600 2778580750 5557161500 11114323000