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581106130 = 25112617873
BaseRepresentation
bin100010101000101…
…111100111010010
31111111110020202021
4202220233213102
52142230344010
6133355042054
720254214653
oct4250574722
91444406667
10581106130
11279023700
1214274032a
1393511aa7
145726952a
15360398da
hex22a2f9d2

581106130 has 48 divisors (see below), whose sum is σ = 1168722072. Its totient is φ = 207820800.

The previous prime is 581106101. The next prime is 581106133. The reversal of 581106130 is 31601185.

581106130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 133656721 + 447449409 = 11561^2 + 21153^2 .

It is a junction number, because it is equal to n+sod(n) for n = 581106095 and 581106104.

It is not an unprimeable number, because it can be changed into a prime (581106133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69874 + ... + 77746.

Almost surely, 2581106130 is an apocalyptic number.

581106130 is an abundant number, since it is smaller than the sum of its proper divisors (587615942).

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

581106130 is a wasteful number, since it uses less digits than its factorization.

581106130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7963 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 581106130 is about 24106.1429930215. The cubic root of 581106130 is about 834.4849058793.

The spelling of 581106130 in words is "five hundred eighty-one million, one hundred six thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 55 61 110 121 122 242 305 605 610 671 1210 1342 3355 6710 7381 7873 14762 15746 36905 39365 73810 78730 86603 173206 433015 480253 866030 952633 960506 1905266 2401265 4763165 4802530 5282783 9526330 10565566 26413915 52827830 58110613 116221226 290553065 581106130