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3000310020 = 22325371094133
BaseRepresentation
bin1011001011010101…
…0001100100000100
321202002121112121100
42302311101210010
522121034410040
61213415020100
7134231133351
oct26265214404
97662545540
103000310020
1112aa662364
126b896a630
1338a792696
14206687628
15128605b30
hexb2d51904

3000310020 has 144 divisors (see below), whose sum is σ = 9434945520. Its totient is φ = 771130368.

The previous prime is 3000310009. The next prime is 3000310051. The reversal of 3000310020 is 200130003.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 418857156 + 2581452864 = 20466^2 + 50808^2 .

It is a super-2 number, since 2×30003100202 = 18003720432224800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3000309984 and 3000310011.

It is an unprimeable number.

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, 723874 + ... + 728006.

It is an arithmetic number, because the mean of its divisors is an integer number (65520455).

Almost surely, 23000310020 is an apocalyptic number.

3000310020 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 3000310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717472760).

3000310020 is an abundant number, since it is smaller than the sum of its proper divisors (6434635500).

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

3000310020 is a wasteful number, since it uses less digits than its factorization.

3000310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3000310020 is about 54775.0857598598. The cubic root of 3000310020 is about 1442.2992492864.

Adding to 3000310020 its reverse (200130003), we get a palindrome (3200440023).

The spelling of 3000310020 in words is "three billion, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 109 111 148 180 185 218 222 327 333 370 436 444 545 555 654 666 740 981 1090 1110 1308 1332 1635 1665 1962 2180 2220 3270 3330 3924 4033 4133 4905 6540 6660 8066 8266 9810 12099 12399 16132 16532 19620 20165 20665 24198 24798 36297 37197 40330 41330 48396 49596 60495 61995 72594 74394 80660 82660 120990 123990 145188 148788 152921 181485 185985 241980 247980 305842 362970 371970 450497 458763 611684 725940 743940 764605 900994 917526 1351491 1376289 1529210 1801988 1835052 2252485 2293815 2702982 2752578 3058420 4054473 4504970 4587630 5405964 5505156 6757455 6881445 8108946 9009940 9175260 13514910 13762890 16217892 16668389 20272365 27029820 27525780 33336778 40544730 50005167 66673556 81089460 83341945 100010334 150015501 166683890 200020668 250025835 300031002 333367780 500051670 600062004 750077505 1000103340 1500155010 3000310020