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2003131112300 = 2252174725070477
BaseRepresentation
bin11101001001100011111…
…010110001101101101100
321002111102122120211120022
4131021203322301231230
5230304403031043200
64132120431341312
7264502312343243
oct35114372615554
97074378524508
102003131112300
117025833228aa
12284278681838
13116b82163746
146cd4866595a
153718cd1e885
hex1d263eb1b6c

2003131112300 has 72 divisors (see below), whose sum is σ = 4700413779264. Its totient is φ = 738074813440.

The previous prime is 2003131112293. The next prime is 2003131112309. The reversal of 2003131112300 is 32111313002.

It is a super-2 number, since 2×20031311123002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2003131112309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12455339 + ... + 12615138.

It is an arithmetic number, because the mean of its divisors is an integer number (65283524712).

Almost surely, 22003131112300 is an apocalyptic number.

2003131112300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003131112300 is an abundant number, since it is smaller than the sum of its proper divisors (2697282666964).

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

2003131112300 is a wasteful number, since it uses less digits than its factorization.

2003131112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25070555 (or 25070548 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2003131112300 its reverse (32111313002), we get a palindrome (2035242425302).

The spelling of 2003131112300 in words is "two trillion, three billion, one hundred thirty-one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 47 50 68 85 94 100 170 188 235 340 425 470 799 850 940 1175 1598 1700 2350 3196 3995 4700 7990 15980 19975 39950 79900 25070477 50140954 100281908 125352385 250704770 426198109 501409540 626761925 852396218 1178312419 1253523850 1704792436 2130990545 2356624838 2507047700 4261981090 4713249676 5891562095 8523962180 10654952725 11783124190 20031311123 21309905450 23566248380 29457810475 40062622246 42619810900 58915620950 80125244492 100156555615 117831241900 200313111230 400626222460 500782778075 1001565556150 2003131112300