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11213212230000 = 2432541137306121
BaseRepresentation
bin1010001100101100011110…
…0010000010000101110000
31110200222021001002012002200
42203023013202002011300
52432204124312330000
635503140101343200
72235061565220324
oct243130742020560
943628231065080
1011213212230000
113633550a81060
121311242107b00
1363452aa91ab1
142aaa18269984
15146a34a03500
hexa32c7882170

11213212230000 has 600 divisors, whose sum is σ = 43935489030576. Its totient is φ = 2644876800000.

The previous prime is 11213212229929. The next prime is 11213212230023. The reversal of 11213212230000 is 3221231211.

11213212230000 is a `hidden beast` number, since 1 + 1 + 21 + 321 + 22 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×112132122300002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36476940 + ... + 36783060.

Almost surely, 211213212230000 is an apocalyptic number.

11213212230000 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 11213212230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21967744515288).

11213212230000 is an abundant number, since it is smaller than the sum of its proper divisors (32722276800576).

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

11213212230000 is a wasteful number, since it uses less digits than its factorization.

11213212230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306203 (or 306179 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11213212230000 its reverse (3221231211), we get a palindrome (11216433461211).

The spelling of 11213212230000 in words is "eleven trillion, two hundred thirteen billion, two hundred twelve million, two hundred thirty thousand".