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102444450300 = 2235524215821
BaseRepresentation
bin101111101101000101…
…0100100000111111100
3100210102112022021200000
41133122022210013330
53134301234402200
6115021244034300
710254445313523
oct1373212440774
9323375267600
10102444450300
113a4a0248865
1217a30532990
13987808c73a
144d5b9714ba
1529e8b41300
hex17da2a41fc

102444450300 has 108 divisors (see below), whose sum is σ = 332999348136. Its totient is φ = 27318513600.

The previous prime is 102444450281. The next prime is 102444450301. The reversal of 102444450300 is 3054444201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102444450301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2083611 + ... + 2132210.

Almost surely, 2102444450300 is an apocalyptic number.

102444450300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102444450300 is an abundant number, since it is smaller than the sum of its proper divisors (230554897836).

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

102444450300 is a wasteful number, since it uses less digits than its factorization.

102444450300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215850 (or 4215831 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 102444450300 its reverse (3054444201), we get a palindrome (105498894501).

It can be divided in two parts, 10244 and 4450300, that added together give a square (4460544 = 21122).

The spelling of 102444450300 in words is "one hundred two billion, four hundred forty-four million, four hundred fifty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 12150 24300 4215821 8431642 12647463 16863284 21079105 25294926 37942389 42158210 50589852 63237315 75884778 84316420 105395525 113827167 126474630 151769556 189711945 210791050 227654334 252949260 316186575 341481501 379423890 421582100 455308668 569135835 632373150 682963002 758847780 948559725 1024444503 1138271670 1264746300 1365926004 1707407505 1897119450 2048889006 2276543340 2845679175 3414815010 3794238900 4097778012 5122222515 5691358350 6829630020 8537037525 10244445030 11382716700 17074075050 20488890060 25611112575 34148150100 51222225150 102444450300