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11240405200 = 245228101013
BaseRepresentation
bin10100111011111101…
…01111100011010000
31002000100210202011201
422131332233203100
5141010020431300
65055212520544
7545355603433
oct123576574320
932010722151
1011240405200
114848a08882
122218480154
1310a198aa4b
14788bad81a
1545bc2a66a
hex29dfaf8d0

11240405200 has 30 divisors (see below), whose sum is σ = 27005074454. Its totient is φ = 4496161920.

The previous prime is 11240405123. The next prime is 11240405203. The reversal of 11240405200 is 250404211.

It can be written as a sum of positive squares in 3 ways, for example, as 39992976 + 11200412224 = 6324^2 + 105832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240405203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14050107 + ... + 14050906.

Almost surely, 211240405200 is an apocalyptic number.

11240405200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240405200 is an abundant number, since it is smaller than the sum of its proper divisors (15764669254).

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

11240405200 is a wasteful number, since it uses less digits than its factorization.

11240405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28101031 (or 28101020 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 11240405200 its reverse (250404211), we get a palindrome (11490809411).

The spelling of 11240405200 in words is "eleven billion, two hundred forty million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 28101013 56202026 112404052 140505065 224808104 281010130 449616208 562020260 702525325 1124040520 1405050650 2248081040 2810101300 5620202600 11240405200