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11112343000 = 2353117391367
BaseRepresentation
bin10100101100101100…
…01110010111011000
31001200102211111212021
422112112032113120
5140224224434000
65034400024224
7542242233313
oct122626162730
931612744767
1011112343000
11479269a850
1221a1602074
1310812a02b5
14775b9597a
1545088111a
hex29658e5d8

11112343000 has 128 divisors (see below), whose sum is σ = 28425945600. Its totient is φ = 4032432000.

The previous prime is 11112342971. The next prime is 11112343003. The reversal of 11112343000 is 34321111.

11112343000 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 not an unprimeable number, because it can be changed into a prime (11112343003) by changing a digit.

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, 8128317 + ... + 8129683.

It is an arithmetic number, because the mean of its divisors is an integer number (222077700).

Almost surely, 211112343000 is an apocalyptic number.

11112343000 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 11112343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212972800).

11112343000 is an abundant number, since it is smaller than the sum of its proper divisors (17313602600).

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

11112343000 is a wasteful number, since it uses less digits than its factorization.

11112343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2124 counting only the distinct ones).

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

Adding to 11112343000 its reverse (34321111), we get a palindrome (11146664111).

The spelling of 11112343000 in words is "eleven billion, one hundred twelve million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 739 1000 1100 1367 1375 1478 2200 2734 2750 2956 3695 5468 5500 5912 6835 7390 8129 10936 11000 13670 14780 15037 16258 18475 27340 29560 30074 32516 34175 36950 40645 54680 60148 65032 68350 73900 75185 81290 92375 120296 136700 147800 150370 162580 170875 184750 203225 273400 300740 325160 341750 369500 375925 406450 601480 683500 739000 751850 812900 1010213 1016125 1367000 1503700 1625800 1879625 2020426 2032250 3007400 3759250 4040852 4064500 5051065 7518500 8081704 8129000 10102130 11112343 15037000 20204260 22224686 25255325 40408520 44449372 50510650 55561715 88898744 101021300 111123430 126276625 202042600 222246860 252553250 277808575 444493720 505106500 555617150 1010213000 1111234300 1389042875 2222468600 2778085750 5556171500 11112343000