Search a number
-
+
10131003 = 325367317
BaseRepresentation
bin100110101001…
…011000111011
3201001201010100
4212221120323
510043143003
61001050443
7152053311
oct46513073
921051110
1010131003
11579a633
123486a23
13213939c
1414ba0b1
15d51ba3
hex9a963b

10131003 has 24 divisors (see below), whose sum is σ = 15180048. Its totient is φ = 6507072.

The previous prime is 10130999. The next prime is 10131019. The reversal of 10131003 is 30013101.

It is not a de Polignac number, because 10131003 - 22 = 10130999 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 (10131083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31801 + ... + 32117.

It is an arithmetic number, because the mean of its divisors is an integer number (632502).

Almost surely, 210131003 is an apocalyptic number.

10131003 is a deficient number, since it is larger than the sum of its proper divisors (5049045).

10131003 is a wasteful number, since it uses less digits than its factorization.

10131003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 440 counting only the distinct ones).

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

The square root of 10131003 is about 3182.9236560119. The cubic root of 10131003 is about 216.3801817866.

Adding to 10131003 its reverse (30013101), we get a palindrome (40144104).

It can be divided in two parts, 1013 and 1003, that added together give a triangular number (2016 = T63).

The spelling of 10131003 in words is "ten million, one hundred thirty-one thousand, three".

Divisors: 1 3 9 53 67 159 201 317 477 603 951 2853 3551 10653 16801 21239 31959 50403 63717 151209 191151 1125667 3377001 10131003