Search a number
-
+
10310130 = 2325971181
BaseRepresentation
bin100111010101…
…000111110010
3201101210211200
4213111013302
510114411010
61004552030
7153430455
oct47250762
921353750
1010310130
115902176
123552616
13219ca8c
14152549c
15d89cc0
hex9d51f2

10310130 has 48 divisors (see below), whose sum is σ = 27105624. Its totient is φ = 2718720.

The previous prime is 10310119. The next prime is 10310137. The reversal of 10310130 is 3101301.

Adding to 10310130 its reverse (3101301), we get a palindrome (13411431).

It can be divided in two parts, 10310 and 130, that added together give a triangular number (10440 = T144).

It can be written as a sum of positive squares in 4 ways, for example, as 9715689 + 594441 = 3117^2 + 771^2 .

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 (10310137) 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, 8140 + ... + 9320.

Almost surely, 210310130 is an apocalyptic number.

10310130 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 10310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552812).

10310130 is an abundant number, since it is smaller than the sum of its proper divisors (16795494).

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

10310130 is a wasteful number, since it uses less digits than its factorization.

10310130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1288 counting only the distinct ones).

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

The square root of 10310130 is about 3210.9391149631. The cubic root of 10310130 is about 217.6480165672.

The spelling of 10310130 in words is "ten million, three hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1181 1455 1746 2362 2910 3543 4365 5905 7086 8730 10629 11810 17715 21258 35430 53145 106290 114557 229114 343671 572785 687342 1031013 1145570 1718355 2062026 3436710 5155065 10310130