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11112102300 = 22352136194603
BaseRepresentation
bin10100101100101010…
…10011100110011100
31001200102101021200110
422112111103212130
5140224144233200
65034350530020
7542240211465
oct122625234634
931612337613
1011112102300
114792545a22
1221a1506910
131081217880
14775b31d6c
15450834b50
hex29655399c

11112102300 has 144 divisors (see below), whose sum is σ = 34687640960. Its totient is φ = 2730274560.

The previous prime is 11112102259. The next prime is 11112102301. The reversal of 11112102300 is 320121111.

11112102300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112102301) 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 47 ways as a sum of consecutive naturals, for example, 2411799 + ... + 2416401.

Almost surely, 211112102300 is an apocalyptic number.

11112102300 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 11112102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17343820480).

11112102300 is an abundant number, since it is smaller than the sum of its proper divisors (23575538660).

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

11112102300 is a wasteful number, since it uses less digits than its factorization.

11112102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5245 counting only the distinct ones).

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

Adding to 11112102300 its reverse (320121111), we get a palindrome (11432223411).

The spelling of 11112102300 in words is "eleven billion, one hundred twelve million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 619 650 780 975 1238 1300 1857 1950 2476 3095 3714 3900 4603 6190 7428 8047 9206 9285 12380 13809 15475 16094 18412 18570 23015 24141 27618 30950 32188 37140 40235 46030 46425 48282 55236 59839 61900 69045 80470 92060 92850 96564 115075 119678 120705 138090 160940 179517 185700 201175 230150 239356 241410 276180 299195 345225 359034 402350 460300 482820 598390 603525 690450 718068 804700 897585 1196780 1207050 1380900 1495975 1795170 2414100 2849257 2991950 3590340 4487925 5698514 5983900 8547771 8975850 11397028 14246285 17095542 17951700 28492570 34191084 37040341 42738855 56985140 71231425 74080682 85477710 111121023 142462850 148161364 170955420 185201705 213694275 222242046 284925700 370403410 427388550 444484092 555605115 740806820 854777100 926008525 1111210230 1852017050 2222420460 2778025575 3704034100 5556051150 11112102300