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203131002130200 = 2332523722913318843
BaseRepresentation
bin101110001011111100011111…
…001110011000111100011000
3222122020010121210112001211200
4232023330133032120330120
5203111044243021131300
62000005032155154200
760533505411311424
oct5613743716307430
9878203553461750
10203131002130200
11597a64130a7431
121a948195745960
13894622c498251
143823843129b84
151873d845e9200
hexb8bf1f398f18

203131002130200 has 288 divisors, whose sum is σ = 703678480705200. Its totient is φ = 52474106465280.

The previous prime is 203131002130117. The next prime is 203131002130207. The reversal of 203131002130200 is 2031200131302.

203131002130200 is a `hidden beast` number, since 2 + 0 + 31 + 310 + 0 + 21 + 302 + 0 + 0 = 666.

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 (203131002130207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8591979 + ... + 21910821.

Almost surely, 2203131002130200 is an apocalyptic number.

203131002130200 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 203131002130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351839240352600).

203131002130200 is an abundant number, since it is smaller than the sum of its proper divisors (500547478575000).

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

203131002130200 is a wasteful number, since it uses less digits than its factorization.

203131002130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13319131 (or 13319119 counting only the distinct ones).

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

Adding to 203131002130200 its reverse (2031200131302), we get a palindrome (205162202261502).

The spelling of 203131002130200 in words is "two hundred three trillion, one hundred thirty-one billion, two million, one hundred thirty thousand, two hundred".