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11320111312200 = 2332526288950729
BaseRepresentation
bin1010010010111010101100…
…1101101010110101001000
31111002012012000120012221100
42210232223031222311020
52440432041443442300
640024215355541400
72245564624351155
oct244565315526510
944065160505840
1011320111312200
1136749177a2789
121329ab645a860
13641635a01ca2
142b1c7969722c
151496de770700
hexa4bab36ad48

11320111312200 has 72 divisors (see below), whose sum is σ = 38016707162850. Its totient is φ = 3018696349440.

The previous prime is 11320111312099. The next prime is 11320111312247. The reversal of 11320111312200 is 221311102311.

11320111312200 is a `hidden beast` number, since 1 + 1 + 320 + 1 + 11 + 312 + 20 + 0 = 666.

11320111312200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10570470503076 + 749640809124 = 3251226^2 + 865818^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3144473565 + ... + 3144477164.

Almost surely, 211320111312200 is an apocalyptic number.

11320111312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11320111312200 is an abundant number, since it is smaller than the sum of its proper divisors (26696595850650).

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

11320111312200 is a wasteful number, since it uses less digits than its factorization.

11320111312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6288950751 (or 6288950739 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11320111312200 its reverse (221311102311), we get a palindrome (11541422414511).

The spelling of 11320111312200 in words is "eleven trillion, three hundred twenty billion, one hundred eleven million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6288950729 12577901458 18866852187 25155802916 31444753645 37733704374 50311605832 56600556561 62889507290 75467408748 94334260935 113201113122 125779014580 150934817496 157223768225 188668521870 226402226244 251558029160 283002782805 314447536450 377337043740 452804452488 471671304675 566005565610 628895072900 754674087480 943342609350 1132011131220 1257790145800 1415013914025 1886685218700 2264022262440 2830027828050 3773370437400 5660055656100 11320111312200