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11123100200 = 2352461120641
BaseRepresentation
bin10100101101111110…
…10000101000101000
31001201012002000222002
422112333100220220
5140240003201300
65035422350132
7542432535362
oct122677205050
931635060862
1011123100200
1147987778a3
1221a512b348
1310835986c4
14777395d32
154517a85d5
hex296fd0a28

11123100200 has 48 divisors (see below), whose sum is σ = 25917520860. Its totient is φ = 4439552000.

The previous prime is 11123100181. The next prime is 11123100217. The reversal of 11123100200 is 200132111.

It can be written as a sum of positive squares in 6 ways, for example, as 5041284004 + 6081816196 = 71002^2 + 77986^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31880 + ... + 152520.

Almost surely, 211123100200 is an apocalyptic number.

11123100200 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 11123100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12958760430).

11123100200 is an abundant number, since it is smaller than the sum of its proper divisors (14794420660).

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

11123100200 is a wasteful number, since it uses less digits than its factorization.

11123100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121118 (or 121109 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11123100200 its reverse (200132111), we get a palindrome (11323232311).

The spelling of 11123100200 in words is "eleven billion, one hundred twenty-three million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 461 922 1844 2305 3688 4610 9220 11525 18440 23050 46100 92200 120641 241282 482564 603205 965128 1206410 2412820 3016025 4825640 6032050 12064100 24128200 55615501 111231002 222462004 278077505 444924008 556155010 1112310020 1390387525 2224620040 2780775050 5561550100 11123100200