Search a number
-
+
3001050120 = 23351723167383
BaseRepresentation
bin1011001011100000…
…0110010000001000
321202011000010211110
42302320012100020
522121232100440
61213442530320
7134240335155
oct26270062010
97664003743
103001050120
111300018412
126b90669a0
1338a991503
142067db22c
15128700080
hexb2e06408

3001050120 has 256 divisors, whose sum is σ = 10032906240. Its totient is φ = 714272768.

The previous prime is 3001050083. The next prime is 3001050149. The reversal of 3001050120 is 210501003.

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 = 3001050096 and 3001050105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7835449 + ... + 7835831.

It is an arithmetic number, because the mean of its divisors is an integer number (39191040).

Almost surely, 23001050120 is an apocalyptic number.

3001050120 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 3001050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016453120).

3001050120 is an abundant number, since it is smaller than the sum of its proper divisors (7031856120).

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

3001050120 is a wasteful number, since it uses less digits than its factorization.

3001050120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 3001050120 is about 54781.8411519730. The cubic root of 3001050120 is about 1442.4178323560.

Adding to 3001050120 its reverse (210501003), we get a palindrome (3211551123).

The spelling of 3001050120 in words is "three billion, one million, fifty thousand, one hundred twenty".