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4300012000 = 25536117623
BaseRepresentation
bin1000000000100110…
…01111100111100000
3102002200020020112201
410000103033213200
532301300341000
61550404102544
7211362333064
oct40023174740
912080206481
104300012000
111907276729
12a00094a54
13536b24acb
142cb12baa4
151a278796a
hex1004cf9e0

4300012000 has 96 divisors (see below), whose sum is σ = 10738937664. Its totient is φ = 1691712000.

The previous prime is 4300011983. The next prime is 4300012001. The reversal of 4300012000 is 2100034.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4300012001) 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 15 ways as a sum of consecutive naturals, for example, 235189 + ... + 252811.

It is an arithmetic number, because the mean of its divisors is an integer number (111863934).

Almost surely, 24300012000 is an apocalyptic number.

4300012000 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 4300012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369468832).

4300012000 is an abundant number, since it is smaller than the sum of its proper divisors (6438925664).

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

4300012000 is a wasteful number, since it uses less digits than its factorization.

4300012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17709 (or 17691 counting only the distinct ones).

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

The square root of 4300012000 is about 65574.4767420984. The cubic root of 4300012000 is about 1626.1348443599.

Adding to 4300012000 its reverse (2100034), we get a palindrome (4302112034).

The spelling of 4300012000 in words is "four billion, three hundred million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 125 160 200 244 250 305 400 488 500 610 800 976 1000 1220 1525 1952 2000 2440 3050 4000 4880 6100 7625 9760 12200 15250 17623 24400 30500 35246 48800 61000 70492 88115 122000 140984 176230 244000 281968 352460 440575 563936 704920 881150 1075003 1409840 1762300 2150006 2202875 2819680 3524600 4300012 4405750 5375015 7049200 8600024 8811500 10750030 14098400 17200048 17623000 21500060 26875075 34400096 35246000 43000120 53750150 70492000 86000240 107500300 134375375 172000480 215000600 268750750 430001200 537501500 860002400 1075003000 2150006000 4300012000