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1113050400 = 2535271119317
BaseRepresentation
bin100001001010111…
…1100110100100000
32212120101211002220
41002111330310200
54234420103100
6302240311040
736403525620
oct10225746440
92776354086
101113050400
11521319270
12270912480
1314979cb07
14a7b78880
1567ab2aa0
hex4257cd20

1113050400 has 576 divisors, whose sum is σ = 4769694720. Its totient is φ = 218419200.

The previous prime is 1113050383. The next prime is 1113050441. The reversal of 1113050400 is 40503111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1113050400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3511042 + ... + 3511358.

It is an arithmetic number, because the mean of its divisors is an integer number (8280720).

Almost surely, 21113050400 is an apocalyptic number.

1113050400 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 1113050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384847360).

1113050400 is an abundant number, since it is smaller than the sum of its proper divisors (3656644320).

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

1113050400 is a wasteful number, since it uses less digits than its factorization.

1113050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1113050400 is about 33362.4099848917. The cubic root of 1113050400 is about 1036.3464005640.

Adding to 1113050400 its reverse (40503111), we get a palindrome (1153553511).

The spelling of 1113050400 in words is "one billion, one hundred thirteen million, fifty thousand, four hundred".