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1002030330 = 2357291371201
BaseRepresentation
bin111011101110011…
…100010011111010
32120211111102012110
4323232130103322
54023004432310
6243232553150
733555055140
oct7356342372
92524442173
101002030330
11474690244
1223b6b27b6
1312c79b372
1497119590
155ce82d20
hex3bb9c4fa

1002030330 has 128 divisors (see below), whose sum is σ = 2866337280. Its totient is φ = 219340800.

The previous prime is 1002030319. The next prime is 1002030353. The reversal of 1002030330 is 330302001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 833730 + ... + 834930.

It is an arithmetic number, because the mean of its divisors is an integer number (22393260).

Almost surely, 21002030330 is an apocalyptic number.

1002030330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002030330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433168640).

1002030330 is an abundant number, since it is smaller than the sum of its proper divisors (1864306950).

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

1002030330 is a wasteful number, since it uses less digits than its factorization.

1002030330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 1002030330 is about 31654.8626596294. The cubic root of 1002030330 is about 1000.6763191559.

Adding to 1002030330 its reverse (330302001), we get a palindrome (1332332331).

The spelling of 1002030330 in words is "one billion, two million, thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 137 145 174 203 210 274 290 406 411 435 609 685 822 870 959 1015 1201 1218 1370 1918 2030 2055 2402 2877 3045 3603 3973 4110 4795 5754 6005 6090 7206 7946 8407 9590 11919 12010 14385 16814 18015 19865 23838 25221 27811 28770 34829 36030 39730 42035 50442 55622 59595 69658 83433 84070 104487 119190 126105 139055 164537 166866 174145 208974 243803 252210 278110 329074 348290 417165 487606 493611 522435 731409 822685 834330 987222 1044870 1151759 1219015 1462818 1645370 2303518 2438030 2468055 3455277 3657045 4771573 4936110 5758795 6910554 7314090 9543146 11517590 14314719 17276385 23857865 28629438 33401011 34552770 47715730 66802022 71573595 100203033 143147190 167005055 200406066 334010110 501015165 1002030330