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132121242 = 232116110939
BaseRepresentation
bin1111110000000…
…00001010011010
3100012121110021100
413320000022122
5232310334432
621035452230
73163004061
oct770001232
9305543240
10132121242
1168640710
12382b7076
13214ac166
14137931d8
15b8ec07c
hex7e0029a

132121242 has 48 divisors (see below), whose sum is σ = 317435040. Its totient is φ = 39376800.

The previous prime is 132121207. The next prime is 132121271. The reversal of 132121242 is 242121231.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6609 + ... + 17547.

It is an arithmetic number, because the mean of its divisors is an integer number (6613230).

Almost surely, 2132121242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132121242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158717520).

132121242 is an abundant number, since it is smaller than the sum of its proper divisors (185313798).

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

132121242 is a wasteful number, since it uses less digits than its factorization.

132121242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11019 (or 11016 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 132121242 is about 11494.4004628341. The cubic root of 132121242 is about 509.3201784101.

Adding to 132121242 its reverse (242121231), we get a palindrome (374242473).

The spelling of 132121242 in words is "one hundred thirty-two million, one hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 10939 12078 21878 32817 65634 98451 120329 196902 240658 360987 667279 721974 1082961 1334558 2001837 2165922 4003674 6005511 7340069 12011022 14680138 22020207 44040414 66060621 132121242