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11011210010000 = 24548091361089
BaseRepresentation
bin1010000000111011111101…
…0000101101110110010000
31102222122212011021012002222
42200032333100231312100
52420401424230310000
635230251405000212
72214351022534244
oct240167720556620
942878764235088
1011011210010000
113565911a97392
12129a067b53068
1361b4779cbc75
142a0d342b2424
151416608cda85
hexa03bf42dd90

11011210010000 has 100 divisors (see below), whose sum is σ = 26692213491900. Its totient is φ = 4399036416000.

The previous prime is 11011210009973. The next prime is 11011210010023. The reversal of 11011210010000 is 1001211011.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 8131645372816 + 2879564637184 = 2851604^2 + 1696928^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11011210010000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7409456 + ... + 8770544.

It is an arithmetic number, because the mean of its divisors is an integer number (266922134919).

Almost surely, 211011210010000 is an apocalyptic number.

11011210010000 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 11011210010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346106745950).

11011210010000 is an abundant number, since it is smaller than the sum of its proper divisors (15681003481900).

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

11011210010000 is an equidigital number, since it uses as much as digits as its factorization.

11011210010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361926 (or 1361905 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11011210010000 its reverse (1001211011), we get a palindrome (11012211221011).

The spelling of 11011210010000 in words is "eleven trillion, eleven billion, two hundred ten million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 809 1000 1250 1618 2000 2500 3236 4045 5000 6472 8090 10000 12944 16180 20225 32360 40450 64720 80900 101125 161800 202250 323600 404500 505625 809000 1011250 1361089 1618000 2022500 2722178 4045000 5444356 6805445 8090000 10888712 13610890 21777424 27221780 34027225 54443560 68054450 108887120 136108900 170136125 272217800 340272250 544435600 680544500 850680625 1101121001 1361089000 1701361250 2202242002 2722178000 3402722500 4404484004 5505605005 6805445000 8808968008 11011210010 13610890000 17617936016 22022420020 27528025025 44044840040 55056050050 88089680080 110112100100 137640125125 220224200200 275280250250 440448400400 550560500500 688200625625 1101121001000 1376401251250 2202242002000 2752802502500 5505605005000 11011210010000