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132323211020 = 225711132677751
BaseRepresentation
bin111101100111100010…
…0111111011100001100
3110122112211110121000102
41323033010333130030
54131444220223040
6140442145350232
712363043510220
oct1731704773414
9418484417012
10132323211020
1151133003a40
122178a938378
13c62a2b5800
146593c5a780
153696cbc515
hex1ecf13f70c

132323211020 has 288 divisors, whose sum is σ = 376200308736. Its totient is φ = 37964160000.

The previous prime is 132323210989. The next prime is 132323211029. The reversal of 132323211020 is 20112323231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132323210983 and 132323211001.

It is not an unprimeable number, because it can be changed into a prime (132323211029) 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, 176195645 + ... + 176196395.

It is an arithmetic number, because the mean of its divisors is an integer number (1306251072).

Almost surely, 2132323211020 is an apocalyptic number.

132323211020 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 132323211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188100154368).

132323211020 is an abundant number, since it is smaller than the sum of its proper divisors (243877097716).

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

132323211020 is a wasteful number, since it uses less digits than its factorization.

132323211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132323211020 its reverse (20112323231), we get a palindrome (152435534251).

It can be divided in two parts, 132323 and 211020, that added together give a palindrome (343343).

The spelling of 132323211020 in words is "one hundred thirty-two billion, three hundred twenty-three million, two hundred eleven thousand, twenty".