Search a number
-
+
3010010000 = 2454232569
BaseRepresentation
bin1011001101101001…
…0001101110010000
321202202212100110212
42303122101232100
522131030310000
61214402543252
7134406443234
oct26332215620
97682770425
103010010000
111305088078
12700067b28
1338c7aa80a
14207a905c4
151293bec35
hexb3691b90

3010010000 has 150 divisors (see below), whose sum is σ = 7631549310. Its totient is φ = 1149632000.

The previous prime is 3010009999. The next prime is 3010010009. The reversal of 3010010000 is 100103.

It can be written as a sum of positive squares in 5 ways, for example, as 1729229056 + 1280780944 = 41584^2 + 35788^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (3010010009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5289716 + ... + 5290284.

Almost surely, 23010010000 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 3010010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815774655).

3010010000 is an abundant number, since it is smaller than the sum of its proper divisors (4621539310).

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

3010010000 is an equidigital number, since it uses as much as digits as its factorization.

3010010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 3010010000 is about 54863.5580326322. The cubic root of 3010010000 is about 1443.8518915115.

Adding to 3010010000 its reverse (100103), we get a palindrome (3010110103).

The spelling of 3010010000 in words is "three billion, ten million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 529 569 575 625 920 1000 1058 1138 1150 1250 1840 2000 2116 2276 2300 2500 2645 2845 2875 4232 4552 4600 5000 5290 5690 5750 8464 9104 9200 10000 10580 11380 11500 13087 13225 14225 14375 21160 22760 23000 26174 26450 28450 28750 42320 45520 46000 52348 52900 56900 57500 65435 66125 71125 104696 105800 113800 115000 130870 132250 142250 209392 211600 227600 230000 261740 264500 284500 301001 327175 330625 355625 523480 529000 569000 602002 654350 661250 711250 1046960 1058000 1138000 1204004 1308700 1322500 1422500 1505005 1635875 2408008 2617400 2645000 2845000 3010010 3271750 4816016 5234800 5290000 5690000 6020020 6543500 7525025 8179375 12040040 13087000 15050050 16358750 24080080 26174000 30100100 32717500 37625125 60200200 65435000 75250250 120400400 130870000 150500500 188125625 301001000 376251250 602002000 752502500 1505005000 3010010000