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11000430240 = 253543153173
BaseRepresentation
bin10100011111010110…
…10011111010100000
31001101122020202102020
422033223103322200
5140012102231430
65015321221440
7536413054122
oct121753237240
931348222366
1011000430240
114735502068
122170031880
131064048427
14764d83212
15445b26b10
hex28fad3ea0

11000430240 has 96 divisors (see below), whose sum is σ = 34732406016. Its totient is φ = 2926586880.

The previous prime is 11000430239. The next prime is 11000430241. The reversal of 11000430240 is 4203400011.

It is an interprime number because it is at equal distance from previous prime (11000430239) and next prime (11000430241).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (11000430241) 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, 180294 + ... + 233466.

It is an arithmetic number, because the mean of its divisors is an integer number (361795896).

Almost surely, 211000430240 is an apocalyptic number.

11000430240 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 11000430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366203008).

11000430240 is an abundant number, since it is smaller than the sum of its proper divisors (23731975776).

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

11000430240 is a wasteful number, since it uses less digits than its factorization.

11000430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53622 (or 53614 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11000430240 its reverse (4203400011), we get a palindrome (15203830251).

The spelling of 11000430240 in words is "eleven billion, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 431 480 862 1293 1724 2155 2586 3448 4310 5172 6465 6896 8620 10344 12930 13792 17240 20688 25860 34480 41376 51720 53173 68960 103440 106346 159519 206880 212692 265865 319038 425384 531730 638076 797595 850768 1063460 1276152 1595190 1701536 2126920 2552304 3190380 4253840 5104608 6380760 8507680 12761520 22917563 25523040 45835126 68752689 91670252 114587815 137505378 183340504 229175630 275010756 343763445 366681008 458351260 550021512 687526890 733362016 916702520 1100043024 1375053780 1833405040 2200086048 2750107560 3666810080 5500215120 11000430240