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11431052332000 = 255371376329663
BaseRepresentation
bin1010011001010111111111…
…0100000100101111100000
31111110210112200122221210121
42212111333310010233200
52444241243344111000
640151204123010024
72256603063433450
oct246257764045740
944423480587717
1011431052332000
113707978041a04
1213474b8369914
1364bc36158332
142b73a1833d60
1514c534298b1a
hexa657fd04be0

11431052332000 has 192 divisors, whose sum is σ = 32101809352704. Its totient is φ = 3918801062400.

The previous prime is 11431052331977. The next prime is 11431052332013. The reversal of 11431052332000 is 23325013411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 385349169 + ... + 385378831.

It is an arithmetic number, because the mean of its divisors is an integer number (167196923712).

Almost surely, 211431052332000 is an apocalyptic number.

11431052332000 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 11431052332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16050904676352).

11431052332000 is an abundant number, since it is smaller than the sum of its proper divisors (20670757020704).

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

11431052332000 is a wasteful number, since it uses less digits than its factorization.

11431052332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43458 (or 43440 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 11431052332000 its reverse (23325013411), we get a palindrome (11454377345411).

The spelling of 11431052332000 in words is "eleven trillion, four hundred thirty-one billion, fifty-two million, three hundred thirty-two thousand".