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11300404120 = 2351272224489
BaseRepresentation
bin10101000011000111…
…00111101110011000
31002011112201000012221
422201203213232120
5141120400412440
65105154513424
7550014564415
oct124143475630
932145630187
1011300404120
114879868965
122234595874
1310b1237375
14792b4b10c
1546212cd4a
hex2a18e7b98

11300404120 has 32 divisors (see below), whose sum is σ = 25626124800. Its totient is φ = 4484567808.

The previous prime is 11300404111. The next prime is 11300404127. The reversal of 11300404120 is 2140400311.

11300404120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11300404094 and 11300404103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300404127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1107165 + ... + 1117324.

It is an arithmetic number, because the mean of its divisors is an integer number (800816400).

Almost surely, 211300404120 is an apocalyptic number.

11300404120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300404120 is an abundant number, since it is smaller than the sum of its proper divisors (14325720680).

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

11300404120 is a wasteful number, since it uses less digits than its factorization.

11300404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224627 (or 2224623 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11300404120 its reverse (2140400311), we get a palindrome (13440804431).

The spelling of 11300404120 in words is "eleven billion, three hundred million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1270 2540 5080 2224489 4448978 8897956 11122445 17795912 22244890 44489780 88979560 282510103 565020206 1130040412 1412550515 2260080824 2825101030 5650202060 11300404120