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4243301114200 = 2352191112998389
BaseRepresentation
bin111101101111111000011…
…101001010000101011000
3120000122200221122220021221
4331233320131022011120
51024010240041123300
613005202353141424
7615365646233431
oct75577035120530
916018627586257
104243301114200
111396634946865
12586468b5a874
1324a1ac07c675
1410953c1b8488
15755a0b3931a
hex3dbf874a158

4243301114200 has 96 divisors (see below), whose sum is σ = 9926212896000. Its totient is φ = 1686921292800.

The previous prime is 4243301114197. The next prime is 4243301114203. The reversal of 4243301114200 is 24111033424.

It is an interprime number because it is at equal distance from previous prime (4243301114197) and next prime (4243301114203).

It is a super-2 number, since 2×42433011142002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243301114203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43078606 + ... + 43176994.

It is an arithmetic number, because the mean of its divisors is an integer number (103398051000).

Almost surely, 24243301114200 is an apocalyptic number.

4243301114200 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 4243301114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963106448000).

4243301114200 is an abundant number, since it is smaller than the sum of its proper divisors (5682911781800).

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

4243301114200 is a wasteful number, since it uses less digits than its factorization.

4243301114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99725 (or 99716 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4243301114200 its reverse (24111033424), we get a palindrome (4267412147624).

The spelling of 4243301114200 in words is "four trillion, two hundred forty-three billion, three hundred one million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 382 764 955 1129 1528 1910 2258 3820 4516 4775 5645 7640 9032 9550 11290 19100 22580 28225 38200 45160 56450 98389 112900 196778 215639 225800 393556 431278 491945 787112 862556 983890 1078195 1725112 1967780 2156390 2459725 3935560 4312780 4919450 5390975 8625560 9838900 10781950 18792299 19677800 21563900 37584598 43127800 75169196 93961495 111081181 150338392 187922990 222162362 375845980 444324724 469807475 555405905 751691960 888649448 939614950 1110811810 1879229900 2221623620 2777029525 3758459800 4443247240 5554059050 11108118100 21216505571 22216236200 42433011142 84866022284 106082527855 169732044568 212165055710 424330111420 530412639275 848660222840 1060825278550 2121650557100 4243301114200