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11122112200 = 2352263353599
BaseRepresentation
bin10100101101110110…
…11111011011001000
31001201010012211200111
422112323133123020
5140234230042300
65035345244104
7542421252043
oct122673373310
931633184614
1011122112200
114798162571
1221a4933634
131083310aa4
147771b9c5a
154516609ba
hex296edf6c8

11122112200 has 96 divisors (see below), whose sum is σ = 26074224000. Its totient is φ = 4411996160.

The previous prime is 11122112191. The next prime is 11122112201. The reversal of 11122112200 is 221122111.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11122112201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18567501 + ... + 18568099.

It is an arithmetic number, because the mean of its divisors is an integer number (271606500).

Almost surely, 211122112200 is an apocalyptic number.

11122112200 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 11122112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13037112000).

11122112200 is an abundant number, since it is smaller than the sum of its proper divisors (14952111800).

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

11122112200 is a wasteful number, since it uses less digits than its factorization.

11122112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11122112200 its reverse (221122111), we get a palindrome (11343234311).

The spelling of 11122112200 in words is "eleven billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 263 353 526 599 706 1052 1198 1315 1412 1765 2104 2396 2630 2824 2995 3530 4792 5260 5990 6575 7060 8825 10520 11980 13150 14120 14975 17650 23960 26300 29950 35300 52600 59900 70600 92839 119800 157537 185678 211447 315074 371356 422894 464195 630148 742712 787685 845788 928390 1057235 1260296 1575370 1691576 1856780 2114470 2320975 3150740 3713560 3938425 4228940 4641950 5286175 6301480 7876850 8457880 9283900 10572350 15753700 18567800 21144700 31507400 42289400 55610561 111221122 222442244 278052805 444884488 556105610 1112211220 1390264025 2224422440 2780528050 5561056100 11122112200