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3001001220 = 2232576733539
BaseRepresentation
bin1011001011011111…
…1010010100000100
321202010220122202100
42302313322110010
522121224014340
61213441512100
7134240042460
oct26267722404
97663818670
103001001220
1112aaa946a8
126b9042630
1338a975189
142067c74a0
151286e0830
hexb2dfa504

3001001220 has 144 divisors (see below), whose sum is σ = 10421873280. Its totient is φ = 684730368.

The previous prime is 3001001219. The next prime is 3001001251. The reversal of 3001001220 is 221001003.

It is a happy number.

3001001220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846211 + ... + 849749.

It is an arithmetic number, because the mean of its divisors is an integer number (72374120).

Almost surely, 23001001220 is an apocalyptic number.

3001001220 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 3001001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210936640).

3001001220 is an abundant number, since it is smaller than the sum of its proper divisors (7420872060).

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

3001001220 is a wasteful number, since it uses less digits than its factorization.

3001001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3001001220 is about 54781.3948343778. The cubic root of 3001001220 is about 1442.4099979189.

Adding to 3001001220 its reverse (221001003), we get a palindrome (3222002223).

The spelling of 3001001220 in words is "three billion, one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 673 1260 1346 2019 2692 3365 3539 4038 4711 6057 6730 7078 8076 9422 10095 10617 12114 13460 14133 14156 17695 18844 20190 21234 23555 24228 24773 28266 30285 31851 35390 40380 42399 42468 47110 49546 53085 56532 60570 63702 70665 70780 74319 84798 94220 99092 106170 121140 123865 127404 141330 148638 159255 169596 211995 212340 222957 247730 282660 297276 318510 371595 423990 445914 495460 637020 743190 847980 891828 1114785 1486380 2229570 2381747 4459140 4763494 7145241 9526988 11908735 14290482 16672229 21435723 23817470 28580964 33344458 35726205 42871446 47634940 50016687 66688916 71452410 83361145 85742892 100033374 107178615 142904820 150050061 166722290 200066748 214357230 250083435 300100122 333444580 428714460 500166870 600200244 750250305 1000333740 1500500610 3001001220