Search a number
-
+
1000131003 = 3389416201
BaseRepresentation
bin111011100111001…
…100100110111011
32120200220220211000
4323213030212323
54022013143003
6243124140043
733532654554
oct7347144673
92520826730
101000131003
11473603253
1223ab37623
1312c2849c1
1496b8332b
155cc0a1a3
hex3b9cc9bb

1000131003 has 16 divisors (see below), whose sum is σ = 1498327200. Its totient is φ = 659260800.

The previous prime is 1000130983. The next prime is 1000131017. The reversal of 1000131003 is 3001310001.

It is not a de Polignac number, because 1000131003 - 210 = 1000129979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000131203) 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 15 ways as a sum of consecutive naturals, for example, 205698 + ... + 210503.

It is an arithmetic number, because the mean of its divisors is an integer number (93645450).

Almost surely, 21000131003 is an apocalyptic number.

1000131003 is a deficient number, since it is larger than the sum of its proper divisors (498196197).

1000131003 is an equidigital number, since it uses as much as digits as its factorization.

1000131003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416299 (or 416293 counting only the distinct ones).

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

The square root of 1000131003 is about 31624.8478731519. The cubic root of 1000131003 is about 1000.0436657599.

Adding to 1000131003 its reverse (3001310001), we get a palindrome (4001441004).

The spelling of 1000131003 in words is "one billion, one hundred thirty-one thousand, three".

Divisors: 1 3 9 27 89 267 801 2403 416201 1248603 3745809 11237427 37041889 111125667 333377001 1000131003