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1004232011200 = 265211101564937
BaseRepresentation
bin11101001110100001110…
…01000110110111000000
310120000002122200212110121
432213100321012313000
5112423131343324300
62045200545110024
7132360543153055
oct16472071066700
93500078625417
101004232011200
1135798a876610
12142763328314
1373910ca1a92
143686851302c
151b1c806a81a
hexe9d0e46dc0

1004232011200 has 168 divisors, whose sum is σ = 2722372948944. Its totient is φ = 361559040000.

The previous prime is 1004232011197. The next prime is 1004232011207. The reversal of 1004232011200 is 21102324001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004232011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1495132 + ... + 2060068.

Almost surely, 21004232011200 is an apocalyptic number.

1004232011200 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 1004232011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361186474472).

1004232011200 is an abundant number, since it is smaller than the sum of its proper divisors (1718140937744).

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

1004232011200 is a wasteful number, since it uses less digits than its factorization.

1004232011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565071 (or 565056 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1004232011200 its reverse (21102324001), we get a palindrome (1025334335201).

The spelling of 1004232011200 in words is "one trillion, four billion, two hundred thirty-two million, eleven thousand, two hundred".