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4130531010 = 235515111257
BaseRepresentation
bin1111011000110010…
…1110011011000010
3101122212022201100000
43312030232123002
531424403443020
61521511340430
7204233635314
oct36614563302
911585281300
104130531010
11182a6390a1
12973381716
1350a994ab8
142b28117b4
1519295b090
hexf632e6c2

4130531010 has 96 divisors (see below), whose sum is σ = 11211887232. Its totient is φ = 1094083200.

The previous prime is 4130530979. The next prime is 4130531017. The reversal of 4130531010 is 101350314.

4130531010 is a `hidden beast` number, since 4 + 130 + 531 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×41305310102 = 34122572849143240200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4130531017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361302 + ... + 372558.

It is an arithmetic number, because the mean of its divisors is an integer number (116790492).

Almost surely, 24130531010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130531010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605943616).

4130531010 is an abundant number, since it is smaller than the sum of its proper divisors (7081356222).

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

4130531010 is a wasteful number, since it uses less digits than its factorization.

4130531010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4130531010 is about 64269.2073235698. The cubic root of 4130531010 is about 1604.4836490809.

Adding to 4130531010 its reverse (101350314), we get a palindrome (4231881324).

The spelling of 4130531010 in words is "four billion, one hundred thirty million, five hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 151 162 243 270 302 405 453 486 755 810 906 1215 1359 1510 2265 2430 2718 4077 4530 6795 8154 11257 12231 13590 20385 22514 24462 33771 36693 40770 56285 61155 67542 73386 101313 112570 122310 168855 183465 202626 303939 337710 366930 506565 607878 911817 1013130 1519695 1699807 1823634 2735451 3039390 3399614 4559085 5099421 5470902 8499035 9118170 10198842 13677255 15298263 16998070 25497105 27354510 30596526 45894789 50994210 76491315 91789578 137684367 152982630 229473945 275368734 413053101 458947890 688421835 826106202 1376843670 2065265505 4130531010