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132111013032 = 233261101431691
BaseRepresentation
bin111101100001001101…
…1100001010010101000
3110122000001011211002200
41323002123201102220
54131030404404112
6140405125300200
712354556040205
oct1730233412250
9418001154080
10132111013032
115103424a4a9
122172b864660
13c5c534a37b
1465739c0cac
153683353cdc
hex1ec26e14a8

132111013032 has 192 divisors, whose sum is σ = 368651761920. Its totient is φ = 42724800000.

The previous prime is 132111013031. The next prime is 132111013033. The reversal of 132111013032 is 230310111231.

It is an interprime number because it is at equal distance from previous prime (132111013031) and next prime (132111013033).

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

It is a junction number, because it is equal to n+sod(n) for n = 132111012996 and 132111013014.

It is not an unprimeable number, because it can be changed into a prime (132111013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191187807 + ... + 191188497.

It is an arithmetic number, because the mean of its divisors is an integer number (1920061260).

Almost surely, 2132111013032 is an apocalyptic number.

132111013032 is a gapful number since it is divisible by the number (12) 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 132111013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184325880960).

132111013032 is an abundant number, since it is smaller than the sum of its proper divisors (236540748888).

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

132111013032 is a wasteful number, since it uses less digits than its factorization.

132111013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132111013032 its reverse (230310111231), we get a palindrome (362421124263).

The spelling of 132111013032 in words is "one hundred thirty-two billion, one hundred eleven million, thirteen thousand, thirty-two".