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11430124400 = 245228575311
BaseRepresentation
bin10101010010100100…
…11101101101110000
31002111120210110222202
422221102131231300
5141402102440100
65130111122332
7553151311562
oct125122355560
932446713882
1011430124400
114936009702
12226bb133a8
131102085726
147a6077332
1546d7037d5
hex2a949db70

11430124400 has 30 divisors (see below), whose sum is σ = 27460874832. Its totient is φ = 4572049600.

The previous prime is 11430124393. The next prime is 11430124427. The reversal of 11430124400 is 442103411.

11430124400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 14287256 + ... + 14288055.

Almost surely, 211430124400 is an apocalyptic number.

11430124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11430124400 is an abundant number, since it is smaller than the sum of its proper divisors (16030750432).

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

11430124400 is a wasteful number, since it uses less digits than its factorization.

11430124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28575329 (or 28575318 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11430124400 its reverse (442103411), we get a palindrome (11872227811).

The spelling of 11430124400 in words is "eleven billion, four hundred thirty million, one hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 28575311 57150622 114301244 142876555 228602488 285753110 457204976 571506220 714382775 1143012440 1428765550 2286024880 2857531100 5715062200 11430124400