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1032421200000 = 27355860351
BaseRepresentation
bin11110000011000010001…
…10010101000010000000
310122200212012122000212020
433001201012111002000
5113403344311400000
62110142053201440
7134406234256011
oct17014106250200
93580765560766
101032421200000
11368935941363
1214810b930280
137648415cc58
1437d8026d008
151bcc7c02ba0
hexf061195080

1032421200000 has 192 divisors, whose sum is σ = 3427745610240. Its totient is φ = 275312000000.

The previous prime is 1032421199993. The next prime is 1032421200001. The reversal of 1032421200000 is 21242301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1032421200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769825 + ... + 1630175.

It is an arithmetic number, because the mean of its divisors is an integer number (17852841720).

Almost surely, 21032421200000 is an apocalyptic number.

1032421200000 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 1032421200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713872805120).

1032421200000 is an abundant number, since it is smaller than the sum of its proper divisors (2395324410240).

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

1032421200000 is an frugal number, since it uses more digits than its factorization.

1032421200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860393 (or 860361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1032421200000 its reverse (21242301), we get a palindrome (1032442442301).

The spelling of 1032421200000 in words is "one trillion, thirty-two billion, four hundred twenty-one million, two hundred thousand".