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1002330030 = 235131728893
BaseRepresentation
bin111011101111100…
…101011110101110
32120212001122022110
4323233211132232
54023044030110
6243243224450
733560443662
oct7357453656
92525048273
101002330030
11474875429
1223b818126
1312c8748c0
14971968a2
155cee1a20
hex3bbe57ae

1002330030 has 96 divisors (see below), whose sum is σ = 2752301664. Its totient is φ = 232187904.

The previous prime is 1002330019. The next prime is 1002330067. The reversal of 1002330030 is 300332001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002329988 and 1002330015.

It is a congruent number.

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, 108264 + ... + 117156.

It is an arithmetic number, because the mean of its divisors is an integer number (28669809).

Almost surely, 21002330030 is an apocalyptic number.

1002330030 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 1002330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376150832).

1002330030 is an abundant number, since it is smaller than the sum of its proper divisors (1749971634).

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

1002330030 is a wasteful number, since it uses less digits than its factorization.

1002330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8950 (or 8933 counting only the distinct ones).

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

The square root of 1002330030 is about 31659.5961755674. The cubic root of 1002330030 is about 1000.7760742197.

Adding to 1002330030 its reverse (300332001), we get a palindrome (1302662031).

The spelling of 1002330030 in words is "one billion, two million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 289 390 442 510 578 663 867 1105 1326 1445 1734 2210 2890 3315 3757 4335 6630 7514 8670 8893 11271 17786 18785 22542 26679 37570 44465 53358 56355 88930 112710 115609 133395 151181 231218 266790 302362 346827 453543 578045 693654 755905 907086 1156090 1511810 1734135 1965353 2267715 2570077 3468270 3930706 4535430 5140154 5896059 7710231 9826765 11792118 12850385 15420462 19653530 25700770 29480295 33411001 38551155 58960590 66822002 77102310 100233003 167055005 200466006 334110010 501165015 1002330030