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11104302004000 = 25538221337681
BaseRepresentation
bin1010000110010110101111…
…1110011111011100100000
31110022120010220021110121121
42201211223332133130200
52423413102303112000
635341125041302024
72224154645452462
oct241455376373440
943276126243547
1011104302004000
1135a1342aa1317
1212b4108334914
136271922a519a
142a5645ac2132
15143cad421b1a
hexa196bf9f720

11104302004000 has 96 divisors (see below), whose sum is σ = 27286669558512. Its totient is φ = 4441167360000.

The previous prime is 11104302003989. The next prime is 11104302004007. The reversal of 11104302004000 is 40020340111.

It can be written as a sum of positive squares in 8 ways, for example, as 4592843320464 + 6511458683536 = 2143092^2 + 2551756^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11104302004007) 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, 32715160 + ... + 33052840.

Almost surely, 211104302004000 is an apocalyptic number.

11104302004000 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 11104302004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13643334779256).

11104302004000 is an abundant number, since it is smaller than the sum of its proper divisors (16182367554512).

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

11104302004000 is an equidigital number, since it uses as much as digits as its factorization.

11104302004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345927 (or 345909 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11104302004000 its reverse (40020340111), we get a palindrome (11144322344111).

The spelling of 11104302004000 in words is "eleven trillion, one hundred four billion, three hundred two million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 8221 16442 32884 41105 65768 82210 131536 164420 205525 263072 328840 337681 411050 657680 675362 822100 1027625 1315360 1350724 1644200 1688405 2055250 2701448 3288400 3376810 4110500 5402896 6576800 6753620 8221000 8442025 10805792 13507240 16442000 16884050 27014480 32884000 33768100 42210125 54028960 67536200 84420250 135072400 168840500 270144800 337681000 675362000 1350724000 2776075501 5552151002 11104302004 13880377505 22208604008 27760755010 44417208016 55521510020 69401887525 88834416032 111043020040 138803775050 222086040080 277607550100 347009437625 444172080160 555215100200 694018875250 1110430200400 1388037750500 2220860400800 2776075501000 5552151002000 11104302004000