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132022323000 = 233253172337517
BaseRepresentation
bin111101011110100100…
…1001100011100111000
3110121202212021220020200
41322331021030130320
54130340203314000
6140352240322200
712352431141531
oct1727511143470
9417685256220
10132022323000
1150a99183357
1221706013360
13c5acb66769
146565cd5688
15367a685500
hex1ebd24c738

132022323000 has 384 divisors, whose sum is σ = 493040545920. Its totient is φ = 31693516800.

The previous prime is 132022322989. The next prime is 132022323001. The reversal of 132022323000 is 323220231.

It is a happy number.

132022323000 is a `hidden beast` number, since 1 + 320 + 22 + 323 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132022323001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3500242 + ... + 3537758.

It is an arithmetic number, because the mean of its divisors is an integer number (1283959755).

Almost surely, 2132022323000 is an apocalyptic number.

132022323000 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 132022323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246520272960).

132022323000 is an abundant number, since it is smaller than the sum of its proper divisors (361018222920).

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

132022323000 is a wasteful number, since it uses less digits than its factorization.

132022323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37584 (or 37567 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 132022323000 its reverse (323220231), we get a palindrome (132345543231).

The spelling of 132022323000 in words is "one hundred thirty-two billion, twenty-two million, three hundred twenty-three thousand".