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3002013030 = 2353141131601
BaseRepresentation
bin1011001011101111…
…0001010101100110
321202012211001200210
42302323301111212
522122003404110
61213515320250
7134251455402
oct26273612546
97665731623
103002013030
111300615905
126b9450086
1338ac3a893
142069ac102
15128840520
hexb2ef1566

3002013030 has 128 divisors (see below), whose sum is σ = 7689572352. Its totient is φ = 748800000.

The previous prime is 3002013023. The next prime is 3002013041. The reversal of 3002013030 is 303102003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3002012997 and 3002013015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4994730 + ... + 4995330.

It is an arithmetic number, because the mean of its divisors is an integer number (60074784).

Almost surely, 23002013030 is an apocalyptic number.

3002013030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844786176).

3002013030 is an abundant number, since it is smaller than the sum of its proper divisors (4687559322).

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

3002013030 is a wasteful number, since it uses less digits than its factorization.

3002013030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814.

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

The square root of 3002013030 is about 54790.6290345347. The cubic root of 3002013030 is about 1442.5720861424.

Adding to 3002013030 its reverse (303102003), we get a palindrome (3305115033).

The spelling of 3002013030 in words is "three billion, two million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 41 62 82 93 123 131 155 186 205 246 262 310 393 410 465 601 615 655 786 930 1202 1230 1271 1310 1803 1965 2542 3005 3606 3813 3930 4061 5371 6010 6355 7626 8122 9015 10742 12183 12710 16113 18030 18631 19065 20305 24366 24641 26855 32226 37262 38130 40610 49282 53710 55893 60915 73923 78731 80565 93155 111786 121830 123205 147846 157462 161130 166501 186310 236193 246410 279465 333002 369615 393655 472386 499503 558930 739230 763871 787310 832505 999006 1180965 1527742 1665010 2291613 2361930 2440661 2497515 3227971 3819355 4583226 4881322 4995030 6455942 7321983 7638710 9683913 11458065 12203305 14643966 16139855 19367826 22916130 24406610 32279710 36609915 48419565 73219830 96839130 100067101 200134202 300201303 500335505 600402606 1000671010 1501006515 3002013030