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3002120000 = 2654116823
BaseRepresentation
bin1011001011110000…
…1011011101000000
321202020000111102122
42302330023131000
522122020320000
61213521503412
7134252412305
oct26274133500
97666014378
103002120000
111300689210
126b94a1b68
1338ac77489
142069d90ac
15128862085
hexb2f0b740

3002120000 has 140 divisors (see below), whose sum is σ = 8122225056. Its totient is φ = 1091520000.

The previous prime is 3002119979. The next prime is 3002120029. The reversal of 3002120000 is 212003.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 3002120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 436589 + ... + 443411.

Almost surely, 23002120000 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 3002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061112528).

3002120000 is an abundant number, since it is smaller than the sum of its proper divisors (5120105056).

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

3002120000 is an equidigital number, since it uses as much as digits as its factorization.

3002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 3002120000 is about 54791.6051964167. The cubic root of 3002120000 is about 1442.5892202123.

Adding to 3002120000 its reverse (212003), we get a palindrome (3002332003).

The spelling of 3002120000 in words is "three billion, two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6823 6875 8000 8800 10000 11000 13646 13750 17600 20000 22000 27292 27500 34115 40000 44000 54584 55000 68230 75053 88000 109168 110000 136460 150106 170575 218336 220000 272920 300212 341150 375265 436672 440000 545840 600424 682300 750530 852875 1091680 1200848 1364600 1501060 1705750 1876325 2183360 2401696 2729200 3002120 3411500 3752650 4264375 4803392 5458400 6004240 6823000 7505300 8528750 9381625 10916800 12008480 13646000 15010600 17057500 18763250 24016960 27292000 30021200 34115000 37526500 46908125 54584000 60042400 68230000 75053000 93816250 120084800 136460000 150106000 187632500 272920000 300212000 375265000 600424000 750530000 1501060000 3002120000