Search a number
-
+
1003132013 = 13195139551
BaseRepresentation
bin111011110010101…
…001010001101101
32120220120101102112
4323302221101231
54023300211023
6243312333405
733600324062
oct7362512155
92526511375
101003132013
11475272a24
1223bb44265
1312ca95950
1497324c69
155d0ee478
hex3bca946d

1003132013 has 8 divisors (see below), whose sum is σ = 1080877056. Its totient is φ = 925470000.

The previous prime is 1003132001. The next prime is 1003132019. The reversal of 1003132013 is 3102313001.

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

It is not a de Polignac number, because 1003132013 - 220 = 1002083437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003132019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5588 + ... + 45138.

It is an arithmetic number, because the mean of its divisors is an integer number (135109632).

Almost surely, 21003132013 is an apocalyptic number.

1003132013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003132013 is a deficient number, since it is larger than the sum of its proper divisors (77745043).

1003132013 is a wasteful number, since it uses less digits than its factorization.

1003132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41515.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1003132013 is about 31672.2593605193. The cubic root of 1003132013 is about 1001.0429162808.

Adding to 1003132013 its reverse (3102313001), we get a palindrome (4105445014).

The spelling of 1003132013 in words is "one billion, three million, one hundred thirty-two thousand, thirteen".

Divisors: 1 13 1951 25363 39551 514163 77164001 1003132013