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4103132200 = 2352149157877
BaseRepresentation
bin1111010010010000…
…1101010000101000
3101120221202201020021
43310210031100220
531400400212300
61515052210224
7203452022356
oct36444152050
911527681207
104103132200
111816124a52
12966169974
135050c0a9b
142acd1c7d6
15190347d1a
hexf490d428

4103132200 has 96 divisors (see below), whose sum is σ = 9675999000. Its totient is φ = 1618007040.

The previous prime is 4103132191. The next prime is 4103132203. The reversal of 4103132200 is 22313014.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 53846244 + 4049285956 = 7338^2 + 63634^2 .

It is not an unprimeable number, because it can be changed into a prime (4103132203) 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 23 ways as a sum of consecutive naturals, for example, 4678162 + ... + 4679038.

Almost surely, 24103132200 is an apocalyptic number.

4103132200 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 4103132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837999500).

4103132200 is an abundant number, since it is smaller than the sum of its proper divisors (5572866800).

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

4103132200 is a wasteful number, since it uses less digits than its factorization.

4103132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4103132200 is about 64055.6960777104. The cubic root of 4103132200 is about 1600.9281333762.

Adding to 4103132200 its reverse (22313014), we get a palindrome (4125445214).

The spelling of 4103132200 in words is "four billion, one hundred three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 157 200 298 314 596 628 745 785 877 1192 1256 1490 1570 1754 2980 3140 3508 3725 3925 4385 5960 6280 7016 7450 7850 8770 14900 15700 17540 21925 23393 29800 31400 35080 43850 46786 87700 93572 116965 130673 137689 175400 187144 233930 261346 275378 467860 522692 550756 584825 653365 688445 935720 1045384 1101512 1169650 1306730 1376890 2339300 2613460 2753780 3266825 3442225 4678600 5226920 5507560 6533650 6884450 13067300 13768900 20515661 26134600 27537800 41031322 82062644 102578305 164125288 205156610 410313220 512891525 820626440 1025783050 2051566100 4103132200