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2003013140 = 225971139137
BaseRepresentation
bin111011101100011…
…1000111000010100
312011121000121110212
41313120320320110
513100232410030
6530431304552
7100431221312
oct16730707024
95147017425
102003013140
11938715467
1247a97b158
1325bc9099b
141500410b2
15bacaa595
hex77638e14

2003013140 has 48 divisors (see below), whose sum is σ = 4287768912. Its totient is φ = 785842176.

The previous prime is 2003013127. The next prime is 2003013169. The reversal of 2003013140 is 413103002.

It can be written as a sum of positive squares in 8 ways, for example, as 957654916 + 1045358224 = 30946^2 + 32332^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214652 + ... + 223788.

It is an arithmetic number, because the mean of its divisors is an integer number (89328519).

Almost surely, 22003013140 is an apocalyptic number.

2003013140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003013140 is an abundant number, since it is smaller than the sum of its proper divisors (2284755772).

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

2003013140 is a wasteful number, since it uses less digits than its factorization.

2003013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9356 (or 9354 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2003013140 is about 44755.0348005674. The cubic root of 2003013140 is about 1260.5534521671.

Adding to 2003013140 its reverse (413103002), we get a palindrome (2416116142).

The spelling of 2003013140 in words is "two billion, three million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 97 113 194 226 388 452 485 565 970 1130 1940 2260 9137 10961 18274 21922 36548 43844 45685 54805 91370 109610 182740 219220 886289 1032481 1772578 2064962 3545156 4129924 4431445 5162405 8862890 10324810 17725780 20649620 100150657 200301314 400602628 500753285 1001506570 2003013140