Search a number
-
+
10131044 = 22721137127
BaseRepresentation
bin100110101001…
…011001100100
3201001201011212
4212221121210
510043143134
61001050552
7152053400
oct46513144
921051155
1010131044
11579a670
123486a58
132139401
1414ba100
15d51bce
hex9a9664

10131044 has 72 divisors (see below), whose sum is σ = 23288832. Its totient is φ = 3810240.

The previous prime is 10131041. The next prime is 10131071. The reversal of 10131044 is 44013101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10131041) by changing a digit.

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, 79709 + ... + 79835.

It is an arithmetic number, because the mean of its divisors is an integer number (323456).

Almost surely, 210131044 is an apocalyptic number.

10131044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644416).

10131044 is an abundant number, since it is smaller than the sum of its proper divisors (13157788).

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

10131044 is a wasteful number, since it uses less digits than its factorization.

10131044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10131044 is about 3182.9300966248. The cubic root of 10131044 is about 216.3804736818.

Adding to 10131044 its reverse (44013101), we get a palindrome (54144145).

The spelling of 10131044 in words is "ten million, one hundred thirty-one thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 37 44 49 74 77 98 127 148 154 196 254 259 308 407 508 518 539 814 889 1036 1078 1397 1628 1778 1813 2156 2794 2849 3556 3626 4699 5588 5698 6223 7252 9398 9779 11396 12446 18796 19558 19943 24892 32893 39116 39886 51689 65786 68453 79772 103378 131572 136906 206756 230251 273812 361823 460502 723646 921004 1447292 2532761 5065522 10131044