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4332130000 = 24541139383
BaseRepresentation
bin1000000100011011…
…10000111011010000
3102011220200000011021
410002031300323100
532333011130000
61553512325224
7212232332422
oct40215607320
912156600137
104332130000
111923413430
12a0a9a3814
1354068bb43
142d14cc812
151a54ce11a
hex102370ed0

4332130000 has 100 divisors (see below), whose sum is σ = 11442312288. Its totient is φ = 1575280000.

The previous prime is 4332129961. The next prime is 4332130001. The reversal of 4332130000 is 312334.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332130001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 90309 + ... + 129691.

Almost surely, 24332130000 is an apocalyptic number.

4332130000 is a gapful number since it is divisible by the number (40) 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 4332130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721156144).

4332130000 is an abundant number, since it is smaller than the sum of its proper divisors (7110182288).

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

4332130000 is a wasteful number, since it uses less digits than its factorization.

4332130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39422 (or 39401 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 4332130000 is about 65818.9182530372. The cubic root of 4332130000 is about 1630.1734920155.

Adding to 4332130000 its reverse (312334), we get a palindrome (4332442334).

The spelling of 4332130000 in words is "four billion, three hundred thirty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 39383 55000 78766 110000 157532 196915 315064 393830 433213 630128 787660 866426 984575 1575320 1732852 1969150 2166065 3150640 3465704 3938300 4332130 4922875 6931408 7876600 8664260 9845750 10830325 15753200 17328520 19691500 21660650 24614375 34657040 39383000 43321300 49228750 54151625 78766000 86642600 98457500 108303250 173285200 196915000 216606500 270758125 393830000 433213000 541516250 866426000 1083032500 2166065000 4332130000