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3132330000 = 24354263397
BaseRepresentation
bin1011101010110011…
…1001000000010000
322002022000211222020
42322230321000100
522403334030000
61234452411440
7140423236302
oct27254710020
98068024866
103132330000
111368133988
12735016b80
133abc37707
1421a011972
15134ed2ba0
hexbab39010

3132330000 has 200 divisors, whose sum is σ = 10175592768. Its totient is φ = 830016000.

The previous prime is 3132329947. The next prime is 3132330037. The reversal of 3132330000 is 332313.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×31323300002 = 19622982457800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 7889802 + ... + 7890198.

Almost surely, 23132330000 is an apocalyptic number.

3132330000 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 3132330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087796384).

3132330000 is an abundant number, since it is smaller than the sum of its proper divisors (7043262768).

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

3132330000 is a wasteful number, since it uses less digits than its factorization.

3132330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 3132330000 is about 55967.2225503464. Note that the first 3 decimals coincide. The cubic root of 3132330000 is about 1463.1510725217.

Adding to 3132330000 its reverse (332313), we get a palindrome (3132662313).

The spelling of 3132330000 in words is "three billion, one hundred thirty-two million, three hundred thirty thousand".