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132021331128 = 233219716172203
BaseRepresentation
bin111101011110100010…
…1011010010010111000
3110121202210102111122200
41322331011122102320
54130334430044003
6140352203150200
712352416541011
oct1727505322270
9417683374580
10132021331128
1150a98666125
1221705815360
13c5ac8aa15b
146565b18008
15367a53b6a3
hex1ebd15a4b8

132021331128 has 192 divisors, whose sum is σ = 382469817600. Its totient is φ = 41018503680.

The previous prime is 132021331121. The next prime is 132021331129. The reversal of 132021331128 is 821133120231.

132021331128 is a `hidden beast` number, since 1 + 3 + 202 + 1 + 331 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132021331121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59926875 + ... + 59929077.

It is an arithmetic number, because the mean of its divisors is an integer number (1992030300).

Almost surely, 2132021331128 is an apocalyptic number.

132021331128 is a gapful number since it is divisible by the number (18) 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 132021331128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191234908800).

132021331128 is an abundant number, since it is smaller than the sum of its proper divisors (250448486472).

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

132021331128 is a wasteful number, since it uses less digits than its factorization.

132021331128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 132021331128 its reverse (821133120231), we get a palindrome (953154451359).

The spelling of 132021331128 in words is "one hundred thirty-two billion, twenty-one million, three hundred thirty-one thousand, one hundred twenty-eight".