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11232010020000 = 2535471110124071
BaseRepresentation
bin1010001101110010011111…
…1101111010010010100000
31110202202210002102212021010
42203130213331322102200
52433011124031120000
635515525243300520
72236325451622650
oct243344775722240
943682702385233
1011232010020000
1136405179249a0
121314a0951a740
13636235380363
142ab8bca08360
15147284e48d50
hexa3727f7a4a0

11232010020000 has 960 divisors, whose sum is σ = 46391151679488. Its totient is φ = 2310720000000.

The previous prime is 11232010019963. The next prime is 11232010020031. The reversal of 11232010020000 is 2001023211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 466607965 + ... + 466632035.

Almost surely, 211232010020000 is an apocalyptic number.

11232010020000 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 11232010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23195575839744).

11232010020000 is an abundant number, since it is smaller than the sum of its proper divisors (35159141659488).

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

11232010020000 is a wasteful number, since it uses less digits than its factorization.

11232010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24223 (or 24200 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11232010020000 its reverse (2001023211), we get a palindrome (11234011043211).

The spelling of 11232010020000 in words is "eleven trillion, two hundred thirty-two billion, ten million, twenty thousand".