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3001123220 = 225178826833
BaseRepresentation
bin1011001011100001…
…1000000110010100
321202011010212002212
42302320120012110
522121241420340
61213444252552
7134241061244
oct26270300624
97664125085
103001123220
111300068327
126b90a1158
1338a9b8874
14206819b24
15128716a65
hexb2e18194

3001123220 has 24 divisors (see below), whose sum is σ = 6673086504. Its totient is φ = 1129834496.

The previous prime is 3001123187. The next prime is 3001123259. The reversal of 3001123220 is 223211003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1092831364 + 1908291856 = 33058^2 + 43684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3001123195 and 3001123204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4413077 + ... + 4413756.

It is an arithmetic number, because the mean of its divisors is an integer number (278045271).

Almost surely, 23001123220 is an apocalyptic number.

It is an amenable number.

3001123220 is an abundant number, since it is smaller than the sum of its proper divisors (3671963284).

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

3001123220 is a wasteful number, since it uses less digits than its factorization.

3001123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826859 (or 8826857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3001123220 is about 54782.5083397977. The cubic root of 3001123220 is about 1442.4295437996.

Adding to 3001123220 its reverse (223211003), we get a palindrome (3224334223).

The spelling of 3001123220 in words is "three billion, one million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 8826833 17653666 35307332 44134165 88268330 150056161 176536660 300112322 600224644 750280805 1500561610 3001123220