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3002030020 = 2251119799091
BaseRepresentation
bin1011001011101111…
…0101011111000100
321202012211221000001
42302323311133010
522122004430040
61213515531044
7134251556053
oct26273653704
97665757001
103002030020
111300627650
126b9459a84
1338ac45532
142069b439a
1512884559a
hexb2ef57c4

3002030020 has 96 divisors (see below), whose sum is σ = 7331788800. Its totient is φ = 1020988800.

The previous prime is 3002029973. The next prime is 3002030021. The reversal of 3002030020 is 200302003.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 3002029979 and 3002030006.

It is not an unprimeable number, because it can be changed into a prime (3002030021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 325675 + ... + 334765.

It is an arithmetic number, because the mean of its divisors is an integer number (76372800).

Almost surely, 23002030020 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 3002030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665894400).

3002030020 is an abundant number, since it is smaller than the sum of its proper divisors (4329758780).

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

3002030020 is a wasteful number, since it uses less digits than its factorization.

3002030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9207 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3002030020 is about 54790.7840790767. The cubic root of 3002030020 is about 1442.5748075667.

Adding to 3002030020 its reverse (200302003), we get a palindrome (3202332023).

The spelling of 3002030020 in words is "three billion, two million, thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 79 95 110 158 190 209 220 316 380 395 418 790 836 869 1045 1501 1580 1738 2090 3002 3476 4180 4345 6004 7505 8690 9091 15010 16511 17380 18182 30020 33022 36364 45455 66044 82555 90910 100001 165110 172729 181820 200002 330220 345458 400004 500005 690916 718189 863645 1000010 1436378 1727290 1900019 2000020 2872756 3454580 3590945 3800038 7181890 7600076 7900079 9500095 13645591 14363780 15800158 19000190 27291182 31600316 38000380 39500395 54582364 68227955 79000790 136455910 150101501 158001580 272911820 300203002 600406004 750507505 1501015010 3002030020