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4325124212200 = 2352112653273697
BaseRepresentation
bin111110111100000101011…
…111100000010111101000
3120022110220100020221121001
4332330011133200113220
51031330323244242300
613110533514124344
7624323416133521
oct76740537402750
916273810227531
104325124212200
111418302953400
1259a2a34206b4
13254b1bb00a9c
1410d4a111d848
157778e1c516a
hex3ef057e05e8

4325124212200 has 144 divisors (see below), whose sum is σ = 11070161737740. Its totient is φ = 1570358169600.

The previous prime is 4325124212197. The next prime is 4325124212203. The reversal of 4325124212200 is 22124215234.

It is an interprime number because it is at equal distance from previous prime (4325124212197) and next prime (4325124212203).

It can be written as a sum of positive squares in 6 ways, for example, as 166958863236 + 4158165348964 = 408606^2 + 2039158^2 .

It is not an unprimeable number, because it can be changed into a prime (4325124212203) 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 35 ways as a sum of consecutive naturals, for example, 15665752 + ... + 15939448.

Almost surely, 24325124212200 is an apocalyptic number.

4325124212200 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 4325124212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535080868870).

4325124212200 is an abundant number, since it is smaller than the sum of its proper divisors (6745037525540).

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

4325124212200 is a wasteful number, since it uses less digits than its factorization.

4325124212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274388 (or 274368 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 4325124212200 its reverse (22124215234), we get a palindrome (4347248427434).

The spelling of 4325124212200 in words is "four trillion, three hundred twenty-five billion, one hundred twenty-four million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 653 968 1100 1210 1306 2200 2420 2612 3025 3265 4840 5224 6050 6530 7183 12100 13060 14366 16325 24200 26120 28732 32650 35915 57464 65300 71830 79013 130600 143660 158026 179575 273697 287320 316052 359150 395065 547394 632104 718300 790130 1094788 1368485 1436600 1580260 1975325 2189576 2736970 3010667 3160520 3950650 5473940 6021334 6842425 7901300 10947880 12042668 13684850 15053335 15802600 24085336 27369700 30106670 33117337 54739400 60213340 66234674 75266675 120426680 132469348 150533350 165586685 178724141 264938696 301066700 331173370 357448282 602133400 662346740 714896564 827933425 893620705 1324693480 1429793128 1655866850 1787241410 1965965551 3311733700 3574482820 3931931102 4468103525 6623467400 7148965640 7863862204 8936207050 9829827755 15727724408 17872414100 19659655510 21625621061 35744828200 39319311020 43251242122 49149138775 78638622040 86502484244 98298277550 108128105305 173004968488 196596555100 216256210610 393193110200 432512421220 540640526525 865024842440 1081281053050 2162562106100 4325124212200