Search a number
-
+
3121350280 = 235172713803
BaseRepresentation
bin1011101000001100…
…0000011010001000
322001112101000121221
42322003000122020
522343031202110
61233421211424
7140231016406
oct27203003210
98045330557
103121350280
111361a14734
12731400b74
133a9891c39
14218794476
151340647da
hexba0c0688

3121350280 has 96 divisors (see below), whose sum is σ = 7567525440. Its totient is φ = 1158241280.

The previous prime is 3121350259. The next prime is 3121350299. The reversal of 3121350280 is 820531213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818859 + ... + 822661.

It is an arithmetic number, because the mean of its divisors is an integer number (78828390).

Almost surely, 23121350280 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 3121350280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783762720).

3121350280 is an abundant number, since it is smaller than the sum of its proper divisors (4446175160).

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

3121350280 is a wasteful number, since it uses less digits than its factorization.

3121350280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 3121350280 is about 55869.0458125069. The cubic root of 3121350280 is about 1461.4394822636.

Adding to 3121350280 its reverse (820531213), we get a palindrome (3941881493).

The spelling of 3121350280 in words is "three billion, one hundred twenty-one million, three hundred fifty thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 289 340 355 568 578 680 710 1156 1207 1420 1445 2312 2414 2840 2890 3803 4828 5780 6035 7606 9656 11560 12070 15212 19015 20519 24140 30424 38030 41038 48280 64651 76060 82076 102595 129302 152120 164152 205190 258604 270013 323255 410380 517208 540026 646510 820760 1080052 1099067 1293020 1350065 2160104 2198134 2586040 2700130 4396268 4590221 5400260 5495335 8792536 9180442 10800520 10990670 18360884 21981340 22951105 36721768 43962680 45902210 78033757 91804420 156067514 183608840 312135028 390168785 624270056 780337570 1560675140 3121350280