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11203023312000 = 273253135984521
BaseRepresentation
bin1010001100000110100000…
…1110011001010010000000
31110122222221221211112012100
42203001220032121102000
52432022242431441000
635454333045430400
72234251234645122
oct243015016312200
943588857745170
1011203023312000
11362a1a2663173
12130b279a0b400
13633595bca530
142aa32cdab212
1514663a279a00
hexa3068399480

11203023312000 has 384 divisors, whose sum is σ = 43327699899120. Its totient is φ = 2757666816000.

The previous prime is 11203023311989. The next prime is 11203023312017. The reversal of 11203023312000 is 21332030211.

11203023312000 is a `hidden beast` number, since 1 + 12 + 0 + 302 + 331 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1174553077824 + 10028470234176 = 1083768^2 + 3166776^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1120261 + ... + 4864260.

Almost surely, 211203023312000 is an apocalyptic number.

11203023312000 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 11203023312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21663849949560).

11203023312000 is an abundant number, since it is smaller than the sum of its proper divisors (32124676587120).

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

11203023312000 is a wasteful number, since it uses less digits than its factorization.

11203023312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984569 (or 5984544 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11203023312000 its reverse (21332030211), we get a palindrome (11224355342211).

The spelling of 11203023312000 in words is "eleven trillion, two hundred three billion, twenty-three million, three hundred twelve thousand".