Search a number
-
+
1013100003 = 32112566667
BaseRepresentation
bin111100011000101…
…010110111100011
32121121022210221100
4330120222313203
54033323200003
6244310125443
734051131216
oct7430526743
92547283840
101013100003
1147a961033
12243350883
13131b75a76
149879b77d
155de1cba3
hex3c62ade3

1013100003 has 6 divisors (see below), whose sum is σ = 1463366684. Its totient is φ = 675399996.

The previous prime is 1013099987. The next prime is 1013100013. The reversal of 1013100003 is 3000013101.

It is not a de Polignac number, because 1013100003 - 24 = 1013099987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112566667 = 1013100003 / (1 + 0 + 1 + 3 + 1 + 0 + 0 + 0 + 0 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013100013) 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 5 ways as a sum of consecutive naturals, for example, 56283325 + ... + 56283342.

Almost surely, 21013100003 is an apocalyptic number.

1013100003 is a deficient number, since it is larger than the sum of its proper divisors (450266681).

1013100003 is a wasteful number, since it uses less digits than its factorization.

1013100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112566673 (or 112566670 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1013100003 is about 31829.2318945965. The cubic root of 1013100003 is about 1004.3477374509.

Adding to 1013100003 its reverse (3000013101), we get a palindrome (4013113104).

The spelling of 1013100003 in words is "one billion, thirteen million, one hundred thousand, three".

Divisors: 1 3 9 112566667 337700001 1013100003