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1325205150000 = 2435513963559
BaseRepresentation
bin10011010010001100011…
…000011101100100110000
311200200120211021201221020
4103102030120131210300
5133203010004300000
62452442453255440
7164512550626614
oct23221430354460
94620524251836
101325205150000
1147101a839476
12194a00634580
1397c73c9c094
14481d6c95344
1524711b1cba0
hex1348c61d930

1325205150000 has 240 divisors, whose sum is σ = 4309886649600. Its totient is φ = 350840160000.

The previous prime is 1325205149941. The next prime is 1325205150013. The reversal of 1325205150000 is 515025231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 20818221 + ... + 20881779.

It is an arithmetic number, because the mean of its divisors is an integer number (17957861040).

Almost surely, 21325205150000 is an apocalyptic number.

1325205150000 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 1325205150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154943324800).

1325205150000 is an abundant number, since it is smaller than the sum of its proper divisors (2984681499600).

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

1325205150000 is an equidigital number, since it uses as much as digits as its factorization.

1325205150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63734 (or 63708 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 1325205150000 in words is "one trillion, three hundred twenty-five billion, two hundred five million, one hundred fifty thousand".