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11112311200 = 2552131910531
BaseRepresentation
bin10100101100101100…
…00110100110100000
31001200102202220020111
422112112012212200
5140224222424300
65034355221104
7542242041514
oct122626064640
931612686214
1011112311200
114792678971
1221a15a7794
13108128b993
14775b88144
154508769ba
hex2965869a0

11112311200 has 72 divisors (see below), whose sum is σ = 27151074720. Its totient is φ = 4441132800.

The previous prime is 11112311153. The next prime is 11112311201. The reversal of 11112311200 is 211321111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11112311201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1049935 + ... + 1060465.

It is an arithmetic number, because the mean of its divisors is an integer number (377098260).

Almost surely, 211112311200 is an apocalyptic number.

11112311200 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 11112311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575537360).

11112311200 is an abundant number, since it is smaller than the sum of its proper divisors (16038763520).

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

11112311200 is a wasteful number, since it uses less digits than its factorization.

11112311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11870 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11112311200 its reverse (211321111), we get a palindrome (11323632311).

The spelling of 11112311200 in words is "eleven billion, one hundred twelve million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1319 2638 5276 6595 10531 10552 13190 21062 21104 26380 32975 42124 42208 52655 52760 65950 84248 105310 105520 131900 168496 210620 211040 263275 263800 336992 421240 526550 527600 842480 1053100 1055200 1684960 2106200 4212400 8424800 13890389 27780778 55561556 69451945 111123112 138903890 222246224 277807780 347259725 444492448 555615560 694519450 1111231120 1389038900 2222462240 2778077800 5556155600 11112311200