Search a number
-
+
1332000133200 = 2432521137909091
BaseRepresentation
bin10011011000100001011…
…001010001000001010000
311201100010101020122112200
4103120201121101001100
5133310414013230300
62455525025323200
7165143130215352
oct23304131210120
94640111218480
101332000133200
11473997393970
12196198196500
13987b79823b9
144867d4c50d2
15249ad43b200
hex13621651050

1332000133200 has 360 divisors, whose sum is σ = 5178922578336. Its totient is φ = 314181504000.

The previous prime is 1332000133199. The next prime is 1332000133229. The reversal of 1332000133200 is 23310002331.

1332000133200 is a `hidden beast` number, since 1 + 332 + 0 + 0 + 0 + 1 + 332 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1010655 + ... + 1919745.

Almost surely, 21332000133200 is an apocalyptic number.

1332000133200 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 1332000133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589461289168).

1332000133200 is an abundant number, since it is smaller than the sum of its proper divisors (3846922445136).

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

1332000133200 is a wasteful number, since it uses less digits than its factorization.

1332000133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909163 (or 909149 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1332000133200 its reverse (23310002331), we get a palindrome (1355310135531).

The spelling of 1332000133200 in words is "one trillion, three hundred thirty-two billion, one hundred thirty-three thousand, two hundred".