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3130313220 = 22325373071531
BaseRepresentation
bin1011101010010100…
…1100101000000100
322002011020101110200
42322211030220010
522402330010340
61234341250500
7140400136416
oct27245145004
98064211420
103130313220
111366a86721
12734403a30
133ab6ac758
14219a489b6
15134c35330
hexba94ca04

3130313220 has 144 divisors (see below), whose sum is σ = 9790068288. Its totient is φ = 809015040.

The previous prime is 3130313203. The next prime is 3130313227. The reversal of 3130313220 is 223130313.

3130313220 is a `hidden beast` number, since 3 + 130 + 313 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3130313193 and 3130313202.

It is not an unprimeable number, because it can be changed into a prime (3130313227) 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 47 ways as a sum of consecutive naturals, for example, 2043855 + ... + 2045385.

Almost surely, 23130313220 is an apocalyptic number.

3130313220 is a gapful number since it is divisible by the number (30) 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 3130313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895034144).

3130313220 is an abundant number, since it is smaller than the sum of its proper divisors (6659755068).

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

3130313220 is a wasteful number, since it uses less digits than its factorization.

3130313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3130313220 is about 55949.2021390833. The cubic root of 3130313220 is about 1462.8369839297.

Adding to 3130313220 its reverse (223130313), we get a palindrome (3353443533).

The spelling of 3130313220 in words is "three billion, one hundred thirty million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 307 333 370 444 555 614 666 740 921 1110 1228 1332 1531 1535 1665 1842 2220 2763 3062 3070 3330 3684 4593 4605 5526 6124 6140 6660 7655 9186 9210 11052 11359 13779 13815 15310 18372 18420 22718 22965 27558 27630 30620 34077 45436 45930 55116 55260 56647 56795 68154 68895 91860 102231 113294 113590 136308 137790 169941 170385 204462 226588 227180 275580 283235 339882 340770 408924 470017 509823 511155 566470 679764 681540 849705 940034 1019646 1022310 1132940 1410051 1699410 1880068 2039292 2044620 2350085 2549115 2820102 3398820 4230153 4700170 5098230 5640204 7050255 8460306 9400340 10196460 14100510 16920612 17390629 21150765 28201020 34781258 42301530 52171887 69562516 84603060 86953145 104343774 156515661 173906290 208687548 260859435 313031322 347812580 521718870 626062644 782578305 1043437740 1565156610 3130313220