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1332002332100 = 22521119299072423
BaseRepresentation
bin10011011000100001100…
…001101001110111000100
311201100010112101100212102
4103120201201221313010
5133310420044111400
62455525144411232
7165143155004216
oct23304141516704
94640115340772
101332002332100
11473998655a40
12196198a76b18
13987b827221b
144867d8d85b6
15249ad7229d5
hex13621869dc4

1332002332100 has 288 divisors, whose sum is σ = 3438829900800. Its totient is φ = 442377331200.

The previous prime is 1332002332091. The next prime is 1332002332139. The reversal of 1332002332100 is 12332002331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549731489 + ... + 549733911.

It is an arithmetic number, because the mean of its divisors is an integer number (11940381600).

Almost surely, 21332002332100 is an apocalyptic number.

1332002332100 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 1332002332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719414950400).

1332002332100 is an abundant number, since it is smaller than the sum of its proper divisors (2106827568700).

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

1332002332100 is a wasteful number, since it uses less digits than its factorization.

1332002332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1332002332100 its reverse (12332002331), we get a palindrome (1344334334431).

The spelling of 1332002332100 in words is "one trillion, three hundred thirty-two billion, two million, three hundred thirty-two thousand, one hundred".