Search a number
-
+
2003133147 = 32832359403
BaseRepresentation
bin111011101100101…
…0110001011011011
312011121020201002120
41313121112023123
513100300230042
6530434032323
7100432231221
oct16731261333
95147221076
102003133147
11938797644
1247aa186a3
1325c0034b2
14150072b11
15bacd0dec
hex776562db

2003133147 has 8 divisors (see below), whose sum is σ = 2680282944. Its totient is φ = 1330702728.

The previous prime is 2003133133. The next prime is 2003133149. The reversal of 2003133147 is 7413313002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2003133147 - 27 = 2003133019 is a prime.

It is a super-2 number, since 2×20031331472 = 8025084809220247218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2003133149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1178853 + ... + 1180550.

It is an arithmetic number, because the mean of its divisors is an integer number (335035368).

Almost surely, 22003133147 is an apocalyptic number.

2003133147 is a deficient number, since it is larger than the sum of its proper divisors (677149797).

2003133147 is a wasteful number, since it uses less digits than its factorization.

2003133147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359689.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 2003133147 is about 44756.3754899791. The cubic root of 2003133147 is about 1260.5786262767.

Adding to 2003133147 its reverse (7413313002), we get a palindrome (9416446149).

The spelling of 2003133147 in words is "two billion, three million, one hundred thirty-three thousand, one hundred forty-seven".

Divisors: 1 3 283 849 2359403 7078209 667711049 2003133147