Search a number
-
+
3130204020336 = 2432137433366439
BaseRepresentation
bin101101100011001110101…
…100101101111001110000
3102002020121022002211100200
4231203032230231321300
5402241124212122321
610353555035315200
7442102242111651
oct55431654557160
912066538084320
103130204020336
11aa756a624358
124267a2babb00
1319923ba68913
14ab70750d528
1556655457d26
hex2d8ceb2de70

3130204020336 has 120 divisors (see below), whose sum is σ = 8844570265440. Its totient is φ = 1033390338048.

The previous prime is 3130204020269. The next prime is 3130204020337. The reversal of 3130204020336 is 6330204020313.

It is a happy number.

3130204020336 is a `hidden beast` number, since 3 + 1 + 302 + 0 + 4 + 0 + 20 + 336 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130204020337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8359005 + ... + 8725443.

It is an arithmetic number, because the mean of its divisors is an integer number (73704752212).

Almost surely, 23130204020336 is an apocalyptic number.

3130204020336 is a gapful number since it is divisible by the number (36) 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 3130204020336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422285132720).

3130204020336 is an abundant number, since it is smaller than the sum of its proper divisors (5714366245104).

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

3130204020336 is a wasteful number, since it uses less digits than its factorization.

3130204020336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367023 (or 367014 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3130204020336 its reverse (6330204020313), we get a palindrome (9460408040649).

The spelling of 3130204020336 in words is "three trillion, one hundred thirty billion, two hundred four million, twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 433 548 822 866 1096 1233 1299 1644 1732 2192 2466 2598 3288 3464 3897 4932 5196 6576 6928 7794 9864 10392 15588 19728 20784 31176 59321 62352 118642 177963 237284 355926 366439 474568 533889 711852 732878 949136 1067778 1099317 1423704 1465756 2135556 2198634 2847408 2931512 3297951 4271112 4397268 5863024 6595902 8542224 8794536 13191804 17589072 26383608 50202143 52767216 100404286 150606429 158668087 200808572 301212858 317336174 401617144 451819287 476004261 602425716 634672348 803234288 903638574 952008522 1204851432 1269344696 1428012783 1807277148 1904017044 2409702864 2538689392 2856025566 3614554296 3808034088 5712051132 7229108592 7616068176 11424102264 21737527919 22848204528 43475055838 65212583757 86950111676 130425167514 173900223352 195637751271 260850335028 347800446704 391275502542 521700670056 782551005084 1043401340112 1565102010168 3130204020336