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30002003000 = 235343977193
BaseRepresentation
bin11011111100010000…
…100011110000111000
32212102220001122222022
4123330100203300320
5442421003044000
621441023014012
72111322550334
oct337420436070
985386048868
1030002003000
11117a6391a02
12599373a308
132aa19169c8
14164880a7c4
15ba8dc2585
hex6fc423c38

30002003000 has 128 divisors (see below), whose sum is σ = 72588035520. Its totient is φ = 11599257600.

The previous prime is 30002002981. The next prime is 30002003027. The reversal of 30002003000 is 30020003.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4167404 + ... + 4174596.

Almost surely, 230002003000 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 30002003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36294017760).

30002003000 is an abundant number, since it is smaller than the sum of its proper divisors (42586032520).

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

30002003000 is a wasteful number, since it uses less digits than its factorization.

30002003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7354 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

Adding to 30002003000 its reverse (30020003), we get a palindrome (30032023003).

The spelling of 30002003000 in words is "thirty billion, two million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 97 100 125 172 194 200 215 250 344 388 430 485 500 776 860 970 1000 1075 1720 1940 2150 2425 3880 4171 4300 4850 5375 7193 8342 8600 9700 10750 12125 14386 16684 19400 20855 21500 24250 28772 33368 35965 41710 43000 48500 57544 71930 83420 97000 104275 143860 166840 179825 208550 287720 309299 359650 417100 521375 618598 697721 719300 834200 899125 1042750 1237196 1395442 1438600 1546495 1798250 2085500 2474392 2790884 3092990 3488605 3596500 4171000 5581768 6185980 6977210 7193000 7732475 12371960 13954420 15464950 17443025 27908840 30002003 30929900 34886050 38662375 60004006 61859800 69772100 77324750 87215125 120008012 139544200 150010015 154649500 174430250 240016024 300020030 309299000 348860500 600040060 697721000 750050075 1200080120 1500100150 3000200300 3750250375 6000400600 7500500750 15001001500 30002003000