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102324342300 = 2235219101177739
BaseRepresentation
bin101111101001100000…
…0011000111000011100
3100210010011022011110120
41133103000120320130
53134030012423200
6115001313434540
710251456362445
oct1372300307034
9323104264416
10102324342300
113a439472954
12179b826ba50
13985922860b
144d49a282cc
1529dd3189a0
hex17d3018e1c

102324342300 has 144 divisors (see below), whose sum is σ = 314727772800. Its totient is φ = 25594272000.

The previous prime is 102324342299. The next prime is 102324342311. The reversal of 102324342300 is 3243423201.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 486831 + ... + 664569.

Almost surely, 2102324342300 is an apocalyptic number.

102324342300 is a gapful number since it is divisible by the number (10) 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 102324342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157363886400).

102324342300 is an abundant number, since it is smaller than the sum of its proper divisors (212403430500).

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

102324342300 is a wasteful number, since it uses less digits than its factorization.

102324342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177876 (or 177869 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 102324342300 its reverse (3243423201), we get a palindrome (105567765501).

The spelling of 102324342300 in words is "one hundred two billion, three hundred twenty-four million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 101 114 150 190 202 228 285 300 303 380 404 475 505 570 606 950 1010 1140 1212 1425 1515 1900 1919 2020 2525 2850 3030 3838 5050 5700 5757 6060 7575 7676 9595 10100 11514 15150 19190 23028 28785 30300 38380 47975 57570 95950 115140 143925 177739 191900 287850 355478 533217 575700 710956 888695 1066434 1777390 2132868 2666085 3377041 3554780 4443475 5332170 6754082 8886950 10131123 10664340 13330425 13508164 16885205 17773900 17951639 20262246 26660850 33770410 35903278 40524492 50655615 53321700 53854917 67540820 71806556 84426025 89758195 101311230 107709834 168852050 179516390 202622460 215419668 253278075 269274585 337704100 341081141 359032780 448790975 506556150 538549170 682162282 897581950 1013112300 1023243423 1077098340 1346372925 1364324564 1705405705 1795163900 2046486846 2692745850 3410811410 4092973692 5116217115 5385491700 6821622820 8527028525 10232434230 17054057050 20464868460 25581085575 34108114100 51162171150 102324342300