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21244432300 = 22527132179581
BaseRepresentation
bin10011110010010001…
…000100111110101100
32000211120010222102221
4103302101010332230
5322002033313200
613432021525124
71351312460260
oct236221047654
960746128387
1021244432300
119011a23473
12414a8737a4
132007458200
1410576a00a0
1584513191a
hex4f2444fac

21244432300 has 108 divisors (see below), whose sum is σ = 57051046416. Its totient is φ = 6723475200.

The previous prime is 21244432271. The next prime is 21244432303. The reversal of 21244432300 is 323444212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21244432303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28510 + ... + 208090.

Almost surely, 221244432300 is an apocalyptic number.

21244432300 is a gapful number since it is divisible by the number (20) 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 21244432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28525523208).

21244432300 is an abundant number, since it is smaller than the sum of its proper divisors (35806614116).

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

21244432300 is a wasteful number, since it uses less digits than its factorization.

21244432300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179628 (or 179608 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 21244432300 its reverse (323444212), we get a palindrome (21567876512).

The spelling of 21244432300 in words is "twenty-one billion, two hundred forty-four million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 169 175 182 260 325 338 350 364 455 650 676 700 845 910 1183 1300 1690 1820 2275 2366 3380 4225 4550 4732 5915 8450 9100 11830 16900 23660 29575 59150 118300 179581 359162 718324 897905 1257067 1795810 2334553 2514134 3591620 4489525 4669106 5028268 6285335 8979050 9338212 11672765 12570670 16341871 17958100 23345530 25141340 30349189 31426675 32683742 46691060 58363825 60698378 62853350 65367484 81709355 116727650 121396756 125706700 151745945 163418710 212444323 233455300 303491890 326837420 408546775 424888646 606983780 758729725 817093550 849777292 1062221615 1517459450 1634187100 2124443230 3034918900 4248886460 5311108075 10622216150 21244432300