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3130313000 = 235373137313
BaseRepresentation
bin1011101010010100…
…1100100100101000
322002011020101011112
42322211030210220
522402330004000
61234341245452
7140400135653
oct27245144450
98064211145
103130313000
111366a86541
12734403888
133ab6ac619
14219a4889a
15134c35235
hexba94c928

3130313000 has 128 divisors (see below), whose sum is σ = 7503369120. Its totient is φ = 1222041600.

The previous prime is 3130312987. The next prime is 3130313051. The reversal of 3130313000 is 3130313.

It can be written as a sum of positive squares in 16 ways, for example, as 687383524 + 2442929476 = 26218^2 + 49426^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10000844 + ... + 10001156.

Almost surely, 23130313000 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 3130313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751684560).

3130313000 is an abundant number, since it is smaller than the sum of its proper divisors (4373056120).

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

3130313000 is a wasteful number, since it uses less digits than its factorization.

3130313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 3130313000 is about 55949.2001730141. The cubic root of 3130313000 is about 1462.8369496601.

Adding to 3130313000 its reverse (3130313), we get a palindrome (3133443313).

3130313000 divided by its reverse (3130313) gives a cube (1000 = 103).

It can be divided in two parts, 3130 and 313000, that multiplied together give a square (979690000 = 313002).

The spelling of 3130313000 in words is "three billion, one hundred thirty million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 137 146 200 250 274 292 313 365 500 548 584 626 685 730 1000 1096 1252 1370 1460 1565 1825 2504 2740 2920 3130 3425 3650 5480 6260 6850 7300 7825 9125 10001 12520 13700 14600 15650 17125 18250 20002 22849 27400 31300 34250 36500 39125 40004 42881 45698 50005 62600 68500 73000 78250 80008 85762 91396 100010 114245 137000 156500 171524 182792 200020 214405 228490 250025 313000 343048 400040 428810 456980 500050 571225 857620 913960 1000100 1072025 1142450 1250125 1715240 2000200 2144050 2284900 2500250 2856125 3130313 4288100 4569800 5000500 5360125 5712250 6260626 8576200 10001000 10720250 11424500 12521252 15651565 21440500 22849000 25042504 31303130 42881000 62606260 78257825 125212520 156515650 313031300 391289125 626062600 782578250 1565156500 3130313000