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3000040120 = 2357112731213
BaseRepresentation
bin1011001011010000…
…1111101010111000
321202002002211101001
42302310033222320
522121002240440
61213405134344
7134225630440
oct26264175270
97662084331
103000040120
1112aa498600
126b885a3b4
1338a6c988c
14206617120
151285a0b9a
hexb2d0fab8

3000040120 has 192 divisors, whose sum is σ = 8602695360. Its totient is φ = 921507840.

The previous prime is 3000040103. The next prime is 3000040123. The reversal of 3000040120 is 210400003.

It is a super-2 number, since 2×30000401202 = 18000481443219228800, which contains 22 as substring.

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 = 3000040097 and 3000040106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000040123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2472634 + ... + 2473846.

It is an arithmetic number, because the mean of its divisors is an integer number (44805705).

Almost surely, 23000040120 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 3000040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301347680).

3000040120 is an abundant number, since it is smaller than the sum of its proper divisors (5602655240).

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

3000040120 is a wasteful number, since it uses less digits than its factorization.

3000040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3000040120 is about 54772.6219931089. The cubic root of 3000040120 is about 1442.2559995068.

Adding to 3000040120 its reverse (210400003), we get a palindrome (3210440123).

The spelling of 3000040120 in words is "three billion, forty thousand, one hundred twenty".