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1324310210000 = 2454891487989
BaseRepresentation
bin10011010001010111000…
…010100010010111010000
311200121021110022002001022
4103101113002202113100
5133144141403210000
62452214003455012
7164451433024241
oct23212702422720
94617243262038
101324310210000
11470700652838
121947b0987468
1397b6075789b
1448150094cc8
15246ad290585
hex134570a25d0

1324310210000 has 100 divisors (see below), whose sum is σ = 3242315330100. Its totient is φ = 523771776000.

The previous prime is 1324310209993. The next prime is 1324310210029. The reversal of 1324310210000 is 120134231.

It can be written as a sum of positive squares in 10 ways, for example, as 1322196417424 + 2113792576 = 1149868^2 + 45976^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 146006 + ... + 1633994.

It is an arithmetic number, because the mean of its divisors is an integer number (32423153301).

Almost surely, 21324310210000 is an apocalyptic number.

1324310210000 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 1324310210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621157665050).

1324310210000 is an abundant number, since it is smaller than the sum of its proper divisors (1918005120100).

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

1324310210000 is an equidigital number, since it uses as much as digits as its factorization.

1324310210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488106 (or 1488085 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1324310210000 its reverse (120134231), we get a palindrome (1324430344231).

The spelling of 1324310210000 in words is "one trillion, three hundred twenty-four billion, three hundred ten million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 625 712 890 1000 1250 1424 1780 2000 2225 2500 3560 4450 5000 7120 8900 10000 11125 17800 22250 35600 44500 55625 89000 111250 178000 222500 445000 890000 1487989 2975978 5951956 7439945 11903912 14879890 23807824 29759780 37199725 59519560 74399450 119039120 132431021 148798900 185998625 264862042 297597800 371997250 529724084 595195600 662155105 743994500 929993125 1059448168 1324310210 1487989000 1859986250 2118896336 2648620420 2975978000 3310775525 3719972500 5297240840 6621551050 7439945000 10594481680 13243102100 14879890000 16553877625 26486204200 33107755250 52972408400 66215510500 82769388125 132431021000 165538776250 264862042000 331077552500 662155105000 1324310210000