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11304411000 = 2335319198323
BaseRepresentation
bin10101000011100101…
…11001111101111000
31002011211020120121220
422201302321331320
5141122412123000
65105420432040
7550063623321
oct124162717570
932154216556
1011304411000
114881055333
1222359a8620
1310b200b0bc
147934b1448
154626701a0
hex2a1cb9f78

11304411000 has 128 divisors (see below), whose sum is σ = 37126252800. Its totient is φ = 2855836800.

The previous prime is 11304410987. The next prime is 11304411011. The reversal of 11304411000 is 11440311.

It is a super-3 number, since 3×113044110003 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42162 + ... + 156161.

It is an arithmetic number, because the mean of its divisors is an integer number (290048850).

Almost surely, 211304411000 is an apocalyptic number.

11304411000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304411000 is an abundant number, since it is smaller than the sum of its proper divisors (25821841800).

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

11304411000 is a wasteful number, since it uses less digits than its factorization.

11304411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198366 (or 198352 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11304411000 its reverse (11440311), we get a palindrome (11315851311).

The spelling of 11304411000 in words is "eleven billion, three hundred four million, four hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 198323 396646 594969 793292 991615 1189938 1586584 1983230 2379876 2974845 3768137 3966460 4759752 4958075 5949690 7536274 7932920 9916150 11304411 11899380 14874225 15072548 18840685 19832300 22608822 23798760 24790375 29748450 30145096 37681370 39664600 45217644 49580750 56522055 59496900 74371125 75362740 90435288 94203425 99161500 113044110 118993800 148742250 150725480 188406850 198323000 226088220 282610275 297484500 376813700 452176440 471017125 565220550 594969000 753627400 942034250 1130441100 1413051375 1884068500 2260882200 2826102750 3768137000 5652205500 11304411000