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201003130332000 = 253253371139671381
BaseRepresentation
bin101101101100111110110000…
…001011101010001101100000
3222100200201012202022211021200
4231230332300023222031200
5202321213402331111000
61551255321401521200
760223665643412103
oct5554766013521540
9870621182284250
10201003130332000
1159055a48a27a87
121a6639057a3200
13882068ac42879
14378c863abc73a
151838845541500
hexb6cfb02ea360

201003130332000 has 1152 divisors, whose sum is σ = 740423762926848. Its totient is φ = 51599794176000.

The previous prime is 201003130331957. The next prime is 201003130332007. The reversal of 201003130332000 is 233031300102.

201003130332000 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 31 + 303 + 320 + 0 + 0 = 666.

201003130332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201003130332007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145548971310 + ... + 145548972690.

It is an arithmetic number, because the mean of its divisors is an integer number (642728960874).

Almost surely, 2201003130332000 is an apocalyptic number.

201003130332000 is a gapful number since it is divisible by the number (20) 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 201003130332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370211881463424).

201003130332000 is an abundant number, since it is smaller than the sum of its proper divisors (539420632594848).

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

201003130332000 is a wasteful number, since it uses less digits than its factorization.

201003130332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 201003130332000 its reverse (233031300102), we get a palindrome (201236161632102).

The spelling of 201003130332000 in words is "two hundred one trillion, three billion, one hundred thirty million, three hundred thirty-two thousand".