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11120312200 = 2352613592539
BaseRepresentation
bin10100101101101001…
…00111111110001000
31001200222211101112211
422112310213332020
5140233244442300
65035242514504
7542400044164
oct122664477610
931628741484
1011120312200
114797143168
1221a4205a34
131082b306ba
14776c6bca4
154514074ba
hex296d27f88

11120312200 has 96 divisors (see below), whose sum is σ = 26362152000. Its totient is φ = 4361299200.

The previous prime is 11120312197. The next prime is 11120312213. The reversal of 11120312200 is 221302111.

It is a super-2 number, since 2×111203122002 (a number of 21 digits) contains 22 as substring.

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, 4378531 + ... + 4381069.

It is an arithmetic number, because the mean of its divisors is an integer number (274605750).

Almost surely, 211120312200 is an apocalyptic number.

11120312200 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 11120312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13181076000).

11120312200 is an abundant number, since it is smaller than the sum of its proper divisors (15241839800).

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

11120312200 is a wasteful number, since it uses less digits than its factorization.

11120312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11120312200 its reverse (221302111), we get a palindrome (11341614311).

The spelling of 11120312200 in words is "eleven billion, one hundred twenty million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 359 488 610 718 1220 1436 1525 1795 2440 2539 2872 3050 3590 5078 6100 7180 8975 10156 12200 12695 14360 17950 20312 21899 25390 35900 43798 50780 63475 71800 87596 101560 109495 126950 154879 175192 218990 253900 309758 437980 507800 547475 619516 774395 875960 911501 1094950 1239032 1548790 1823002 2189900 3097580 3646004 3871975 4379800 4557505 6195160 7292008 7743950 9115010 15487900 18230020 22787525 30975800 36460040 45575050 55601561 91150100 111203122 182300200 222406244 278007805 444812488 556015610 1112031220 1390039025 2224062440 2780078050 5560156100 11120312200