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2003213345 = 57231725793
BaseRepresentation
bin111011101100110…
…1001110000100001
312011121101210002212
41313121221300201
513100310311340
6530435451505
7100433014100
oct16731516041
95147353085
102003213345
11938841921
1247aa56b95
1325c030b53
14150094037
15bace9a65
hex77669c21

2003213345 has 24 divisors (see below), whose sum is σ = 2805252264. Its totient is φ = 1369245696.

The previous prime is 2003213327. The next prime is 2003213389. The reversal of 2003213345 is 5433123002.

It can be written as a sum of positive squares in 4 ways, for example, as 84860944 + 1918352401 = 9212^2 + 43799^2 .

It is not a de Polignac number, because 2003213345 - 222 = 1999019041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2003213345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64769 + ... + 90561.

It is an arithmetic number, because the mean of its divisors is an integer number (116885511).

Almost surely, 22003213345 is an apocalyptic number.

It is an amenable number.

2003213345 is a deficient number, since it is larger than the sum of its proper divisors (802038919).

2003213345 is a wasteful number, since it uses less digits than its factorization.

2003213345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26129 (or 26122 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 2003213345 is about 44757.2714204072. The cubic root of 2003213345 is about 1260.5954490119.

Adding to 2003213345 its reverse (5433123002), we get a palindrome (7436336347).

The spelling of 2003213345 in words is "two billion, three million, two hundred thirteen thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 245 317 1585 2219 11095 15533 25793 77665 128965 180551 902755 1263857 6319285 8176381 40881905 57234667 286173335 400642669 2003213345