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10131330 = 2351122791
BaseRepresentation
bin100110101001…
…011110000010
3201001201120110
4212221132002
510043200310
61001052150
7152054256
oct46513602
921051513
1010131330
11579a900
123487056
132139591
1414ba266
15d51d20
hex9a9782

10131330 has 48 divisors (see below), whose sum is σ = 26736192. Its totient is φ = 2455200.

The previous prime is 10131323. The next prime is 10131349. The reversal of 10131330 is 3313101.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2235 + ... + 5025.

It is an arithmetic number, because the mean of its divisors is an integer number (557004).

Almost surely, 210131330 is an apocalyptic number.

10131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13368096).

10131330 is an abundant number, since it is smaller than the sum of its proper divisors (16604862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131330 is a wasteful number, since it uses less digits than its factorization.

10131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 10131330 is about 3182.9750234647. The cubic root of 10131330 is about 216.3825098074.

Adding to 10131330 its reverse (3313101), we get a palindrome (13444431).

The spelling of 10131330 in words is "ten million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 2791 3630 5582 8373 13955 16746 27910 30701 41865 61402 83730 92103 153505 184206 307010 337711 460515 675422 921030 1013133 1688555 2026266 3377110 5065665 10131330