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1021300000 = 255571459
BaseRepresentation
bin111100110111111…
…100110100100000
32122011202102012221
4330313330310200
54042423100000
6245202000424
734210623010
oct7467746440
92564672187
101021300000
11484551896
12246046114
13133787236
14998d3c40
155e9dc61a
hex3cdfcd20

1021300000 has 144 divisors (see below), whose sum is σ = 2874191040. Its totient is φ = 349920000.

The previous prime is 1021299967. The next prime is 1021300001. The reversal of 1021300000 is 31201.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1021300001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699271 + ... + 700729.

It is an arithmetic number, because the mean of its divisors is an integer number (19959660).

Almost surely, 21021300000 is an apocalyptic number.

1021300000 is a gapful number since it is divisible by the number (10) 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 1021300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437095520).

1021300000 is an abundant number, since it is smaller than the sum of its proper divisors (1852891040).

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

1021300000 is an frugal number, since it uses more digits than its factorization.

1021300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1021300000 is about 31957.7846541340. The cubic root of 1021300000 is about 1007.0501781779.

Adding to 1021300000 its reverse (31201), we get a palindrome (1021331201).

The spelling of 1021300000 in words is "one billion, twenty-one million, three hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1459 1750 2000 2500 2800 2918 3125 3500 4000 4375 5000 5600 5836 6250 7000 7295 8750 10000 10213 11672 12500 14000 14590 17500 20000 20426 21875 23344 25000 28000 29180 35000 36475 40852 43750 46688 50000 51065 58360 70000 72950 81704 87500 100000 102130 116720 140000 145900 163408 175000 182375 204260 233440 255325 291800 326816 350000 364750 408520 510650 583600 700000 729500 817040 911875 1021300 1167200 1276625 1459000 1634080 1823750 2042600 2553250 2918000 3647500 4085200 4559375 5106500 5836000 6383125 7295000 8170400 9118750 10213000 12766250 14590000 18237500 20426000 25532500 29180000 31915625 36475000 40852000 51065000 63831250 72950000 102130000 127662500 145900000 204260000 255325000 510650000 1021300000