Search a number
-
+
2003303130309 = 3213109157084853
BaseRepresentation
bin11101001001101110001…
…010111110010011000101
321002111212122021020220200
4131021232022332103011
5230310231100132214
64132145454321113
7264506501435415
oct35115612762305
97074778236820
102003303130309
11702661433548
122843061b9199
13116bab9a1450
146cd63442645
153719ce9cd09
hex1d26e2be4c5

2003303130309 has 24 divisors (see below), whose sum is σ = 3144838777080. Its totient is φ = 1221491809152.

The previous prime is 2003303130289. The next prime is 2003303130317. The reversal of 2003303130309 is 9030313033002.

2003303130309 is a `hidden beast` number, since 20 + 0 + 3 + 303 + 1 + 30 + 309 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43434728100 + 1959868402209 = 208410^2 + 1399953^2 .

It is not a de Polignac number, because 2003303130309 - 211 = 2003303128261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003303130329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78529674 + ... + 78555179.

It is an arithmetic number, because the mean of its divisors is an integer number (131034949045).

Almost surely, 22003303130309 is an apocalyptic number.

It is an amenable number.

2003303130309 is a deficient number, since it is larger than the sum of its proper divisors (1141535646771).

2003303130309 is a wasteful number, since it uses less digits than its factorization.

2003303130309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157084981 (or 157084978 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The spelling of 2003303130309 in words is "two trillion, three billion, three hundred three million, one hundred thirty thousand, three hundred nine".

Divisors: 1 3 9 13 39 109 117 327 981 1417 4251 12753 157084853 471254559 1413763677 2042103089 6126309267 17122248977 18378927801 51366746931 154100240793 222589236701 667767710103 2003303130309