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3001303020 = 2235736411069
BaseRepresentation
bin1011001011100100…
…0011111111101100
321202011110222202010
42302321003333230
522121313144040
61213452201220
7134242440402
oct26271037754
97664428663
103001303020
111300180421
126b9169210
1338aa4c661
14206865472
1512874ee80
hexb2e43fec

3001303020 has 96 divisors (see below), whose sum is σ = 8540038080. Its totient is φ = 787415040.

The previous prime is 3001303007. The next prime is 3001303079. The reversal of 3001303020 is 203031003.

It is a happy number.

It is a super-2 number, since 2×30013030202 = 18015639635722240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3001302987 and 3001303005.

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 31 ways as a sum of consecutive naturals, for example, 2807046 + ... + 2808114.

It is an arithmetic number, because the mean of its divisors is an integer number (88958730).

Almost surely, 23001303020 is an apocalyptic number.

3001303020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270019040).

3001303020 is an abundant number, since it is smaller than the sum of its proper divisors (5538735060).

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

3001303020 is a wasteful number, since it uses less digits than its factorization.

3001303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1793 counting only the distinct ones).

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

The square root of 3001303020 is about 54784.1493499717. The cubic root of 3001303020 is about 1442.4583489761.

Adding to 3001303020 its reverse (203031003), we get a palindrome (3204334023).

The spelling of 3001303020 in words is "three billion, one million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 641 730 876 1069 1095 1282 1460 1923 2138 2190 2564 3205 3207 3846 4276 4380 5345 6410 6414 7692 9615 10690 12820 12828 16035 19230 21380 32070 38460 46793 64140 78037 93586 140379 156074 187172 233965 234111 280758 312148 390185 467930 468222 561516 685229 701895 780370 935860 936444 1170555 1370458 1403790 1560740 2055687 2341110 2740916 2807580 3426145 4111374 4682220 6852290 8222748 10278435 13704580 20556870 41113740 50021717 100043434 150065151 200086868 250108585 300130302 500217170 600260604 750325755 1000434340 1500651510 3001303020