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3200130000 = 24325431237
BaseRepresentation
bin1011111010111110…
…0001101111010000
322021000121110002100
42332233201233100
523023213130000
61245313520400
7142205441034
oct27657415720
98230543070
103200130000
1113a2432041
12753873100
133bccb5a62
142250201c4
1513ae26a00
hexbebe1bd0

3200130000 has 450 divisors, whose sum is σ = 11876512362. Its totient is φ = 803520000.

The previous prime is 3200129957. The next prime is 3200130029. The reversal of 3200130000 is 310023.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 602800704 + 2597329296 = 24552^2 + 50964^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 86489982 + ... + 86490018.

Almost surely, 23200130000 is an apocalyptic number.

3200130000 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 3200130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938256181).

3200130000 is an abundant number, since it is smaller than the sum of its proper divisors (8676382362).

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

3200130000 is a wasteful number, since it uses less digits than its factorization.

3200130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3200130000 is about 56569.6915317734. The cubic root of 3200130000 is about 1473.6325543566.

Adding to 3200130000 its reverse (310023), we get a palindrome (3200440023).

It can be divided in two parts, 32001 and 30000, that added together give a square (62001 = 2492).

The spelling of 3200130000 in words is "three billion, two hundred million, one hundred thirty thousand".