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132000132 = 223111019901
BaseRepresentation
bin1111101111000…
…10100110000100
3100012101022010210
413313202212010
5232243001012
621033115420
73161661015
oct767424604
9305338123
10132000132
1168568720
1238258b70
1321468cb4
141376100c
15b8c623c
hex7de2984

132000132 has 48 divisors (see below), whose sum is σ = 339361344. Its totient is φ = 39600000.

The previous prime is 132000119. The next prime is 132000173. The reversal of 132000132 is 231000231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8382 + ... + 18282.

It is an arithmetic number, because the mean of its divisors is an integer number (7070028).

Almost surely, 2132000132 is an apocalyptic number.

132000132 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 132000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169680672).

132000132 is an abundant number, since it is smaller than the sum of its proper divisors (207361212).

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

132000132 is a wasteful number, since it uses less digits than its factorization.

132000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020 (or 10018 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132000132 is about 11489.1310376373. The cubic root of 132000132 is about 509.1645066873.

132000132 divided by its sum of digits (12) gives a palindrome (11000011).

Adding to 132000132 its reverse (231000231), we get a palindrome (363000363).

Subtracting 132000132 from its reverse (231000231), we obtain a palindrome (99000099).

The spelling of 132000132 in words is "one hundred thirty-two million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 9901 13332 19802 29703 39604 59406 108911 118812 217822 326733 435644 653466 1000001 1306932 2000002 3000003 4000004 6000006 11000011 12000012 22000022 33000033 44000044 66000066 132000132