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11304141000 = 233534387629
BaseRepresentation
bin10101000011100011…
…11000000011001000
31002011210201212020220
422201301320003020
5141122330003000
65105410550040
7550061420205
oct124161700310
932153655226
1011304141000
114880990499
122235898320
1310b1c45239
14793440cac
1546261a1a0
hex2a1c780c8

11304141000 has 128 divisors (see below), whose sum is σ = 36089539200. Its totient is φ = 2944300800.

The previous prime is 11304140983. The next prime is 11304141053. The reversal of 11304141000 is 14140311.

It is a super-3 number, since 3×113041410003 (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 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 31 ways as a sum of consecutive naturals, for example, 85186 + ... + 172814.

It is an arithmetic number, because the mean of its divisors is an integer number (281949525).

Almost surely, 211304141000 is an apocalyptic number.

11304141000 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 11304141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044769600).

11304141000 is an abundant number, since it is smaller than the sum of its proper divisors (24785398200).

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

11304141000 is a wasteful number, since it uses less digits than its factorization.

11304141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87696 (or 87682 counting only the distinct ones).

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

Adding to 11304141000 its reverse (14140311), we get a palindrome (11318281311).

The spelling of 11304141000 in words is "eleven billion, three hundred four million, one hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 2150 2580 3000 3225 4300 5160 5375 6450 8600 10750 12900 16125 21500 25800 32250 43000 64500 87629 129000 175258 262887 350516 438145 525774 701032 876290 1051548 1314435 1752580 2103096 2190725 2628870 3505160 3768047 4381450 5257740 6572175 7536094 8762900 10515480 10953625 11304141 13144350 15072188 17525800 18840235 21907250 22608282 26288700 30144376 32860875 37680470 43814500 45216564 52577400 56520705 65721750 75360940 87629000 90433128 94201175 113041410 131443500 150721880 188402350 226082820 262887000 282603525 376804700 452165640 471005875 565207050 753609400 942011750 1130414100 1413017625 1884023500 2260828200 2826035250 3768047000 5652070500 11304141000