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203131413424000 = 2753176197120511
BaseRepresentation
bin101110001011111100110111…
…101111010110011110000000
3222122020011200110102221212101
4232023330313233112132000
5203111101113314032000
62000005141050440144
760533521534251625
oct5613746757263600
9878204613387771
10203131413424000
11597a6604286566
121a94828b433054
138946296762269
1438238819d034c
151873daa78de6a
hexb8bf37bd6780

203131413424000 has 256 divisors, whose sum is σ = 534834174551040. Its totient is φ = 76460027904000.

The previous prime is 203131413423959. The next prime is 203131413424007. The reversal of 203131413424000 is 424314131302.

It is a happy number.

It is a super-2 number, since 2×2031314134240002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 203131413424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203131413424007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685523745 + ... + 1685644255.

It is an arithmetic number, because the mean of its divisors is an integer number (2089195994340).

Almost surely, 2203131413424000 is an apocalyptic number.

203131413424000 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 203131413424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267417087275520).

203131413424000 is an abundant number, since it is smaller than the sum of its proper divisors (331702761127040).

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

203131413424000 is a wasteful number, since it uses less digits than its factorization.

203131413424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126754 (or 126732 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 203131413424000 its reverse (424314131302), we get a palindrome (203555727555302).

The spelling of 203131413424000 in words is "two hundred three trillion, one hundred thirty-one billion, four hundred thirteen million, four hundred twenty-four thousand".