Search a number
-
+
3130300100 = 2252173315563
BaseRepresentation
bin1011101010010100…
…1001011011000100
322002011012201110202
42322211021123010
522402324100400
61234341110032
7140400053234
oct27245113304
98064181422
103130300100
111366a77884
127343b8318
133ab6a67a5
14219a43cc4
15134c314d5
hexba9496c4

3130300100 has 72 divisors (see below), whose sum is σ = 7215350688. Its totient is φ = 1174694400.

The previous prime is 3130300081. The next prime is 3130300163. The reversal of 3130300100 is 10030313.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559919 + ... + 565481.

It is an arithmetic number, because the mean of its divisors is an integer number (100213204).

Almost surely, 23130300100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607675344).

3130300100 is an abundant number, since it is smaller than the sum of its proper divisors (4085050588).

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

3130300100 is a wasteful number, since it uses less digits than its factorization.

3130300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5918 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 3130300100 is about 55949.0848897460. The cubic root of 3130300100 is about 1462.8349402101.

Adding to 3130300100 its reverse (10030313), we get a palindrome (3140330413).

The spelling of 3130300100 in words is "three billion, one hundred thirty million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 331 340 425 662 850 1324 1655 1700 3310 5563 5627 6620 8275 11126 11254 16550 22252 22508 27815 28135 33100 55630 56270 94571 111260 112540 139075 140675 189142 278150 281350 378284 472855 556300 562700 945710 1841353 1891420 2364275 3682706 4728550 7365412 9206765 9457100 18413530 31303001 36827060 46033825 62606002 92067650 125212004 156515005 184135300 313030010 626060020 782575025 1565150050 3130300100