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11114202200 = 2352179193557
BaseRepresentation
bin10100101100111010…
…10100010001011000
31001200120022222012112
422112131110101120
5140230213432300
65034503531452
7542264105603
oct122635242130
931616288175
1011114202200
11479374a682
1221a2159b88
1310817a160a
1477611b33a
15450aebe35
hex296754458

11114202200 has 96 divisors (see below), whose sum is σ = 27398023200. Its totient is φ = 4178442240.

The previous prime is 11114202199. The next prime is 11114202221. The reversal of 11114202200 is 220241111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3122822 + ... + 3126378.

It is an arithmetic number, because the mean of its divisors is an integer number (285396075).

Almost surely, 211114202200 is an apocalyptic number.

11114202200 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 11114202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13699011600).

11114202200 is an abundant number, since it is smaller than the sum of its proper divisors (16283821000).

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

11114202200 is a wasteful number, since it uses less digits than its factorization.

11114202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11114202200 its reverse (220241111), we get a palindrome (11334443311).

The spelling of 11114202200 in words is "eleven billion, one hundred fourteen million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 919 1700 1838 3400 3557 3676 4595 7114 7352 9190 14228 15623 17785 18380 22975 28456 31246 35570 36760 45950 60469 62492 71140 78115 88925 91900 120938 124984 142280 156230 177850 183800 241876 302345 312460 355700 390575 483752 604690 624920 711400 781150 1209380 1511725 1562300 2418760 3023450 3124600 3268883 6046900 6537766 12093800 13075532 16344415 26151064 32688830 55571011 65377660 81722075 111142022 130755320 163444150 222284044 277855055 326888300 444568088 555710110 653776600 1111420220 1389275275 2222840440 2778550550 5557101100 11114202200