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11304443000 = 2353107105649
BaseRepresentation
bin10101000011100110…
…00001110001111000
31002011211022012112002
422201303001301320
5141122414134000
65105421240132
7550064115524
oct124163016170
932154265462
1011304443000
114881077384
122235a03048
1310b201c836
147934bcd84
154626798d5
hex2a1cc1c78

11304443000 has 64 divisors (see below), whose sum is σ = 26699868000. Its totient is φ = 4479475200.

The previous prime is 11304442987. The next prime is 11304443009. The reversal of 11304443000 is 34440311.

It is a happy number.

It is a super-3 number, since 3×113044430003 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304443009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54176 + ... + 159824.

Almost surely, 211304443000 is an apocalyptic number.

11304443000 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 11304443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13349934000).

11304443000 is an abundant number, since it is smaller than the sum of its proper divisors (15395425000).

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

11304443000 is a wasteful number, since it uses less digits than its factorization.

11304443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105777 (or 105763 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11304443000 its reverse (34440311), we get a palindrome (11338883311).

The spelling of 11304443000 in words is "eleven billion, three hundred four million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2140 2675 4280 5350 10700 13375 21400 26750 53500 105649 107000 211298 422596 528245 845192 1056490 2112980 2641225 4225960 5282450 10564900 11304443 13206125 21129800 22608886 26412250 45217772 52824500 56522215 90435544 105649000 113044430 226088860 282611075 452177720 565222150 1130444300 1413055375 2260888600 2826110750 5652221500 11304443000