Search a number
-
+
132332203332000 = 25335373715730133
BaseRepresentation
bin11110000101101011111101…
…111110001101000110100000
3122100112211112210000221011000
4132011223331332031012200
5114321112323023111000
61145240324105152000
736605454235015410
oct3605537576150640
9570484483027130
10132332203332000
113918a854984281
1212a12a4b18b600
1358abb4763a399
142496cacaa2640
1510473e6ed8000
hex785afdf8d1a0

132332203332000 has 1536 divisors, whose sum is σ = 569000428738560. Its totient is φ = 29241442713600.

The previous prime is 132332203331969. The next prime is 132332203332011. The reversal of 132332203332000 is 233302233231.

132332203332000 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 322 + 0 + 3 + 332 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4391588934 + ... + 4391619066.

It is an arithmetic number, because the mean of its divisors is an integer number (370442987460).

Almost surely, 2132332203332000 is an apocalyptic number.

132332203332000 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 132332203332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284500214369280).

132332203332000 is an abundant number, since it is smaller than the sum of its proper divisors (436668225406560).

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

132332203332000 is a wasteful number, since it uses less digits than its factorization.

132332203332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30368 (or 30344 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 132332203332000 its reverse (233302233231), we get a palindrome (132565505565231).

The spelling of 132332203332000 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, two hundred three million, three hundred thirty-two thousand".