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132220110132 = 223311121391753
BaseRepresentation
bin111101100100011101…
…1101100010100110100
3110122021122110112012000
41323020323230110310
54131241322011012
6140424023455300
712360352251435
oct1731073542464
9418248415160
10132220110132
115108a8947a0
12217602b7530
13c611b27776
14658429d48c
15368cc03ddc
hex1ec8eec534

132220110132 has 96 divisors (see below), whose sum is σ = 374268236160. Its totient is φ = 40033232640.

The previous prime is 132220110109. The next prime is 132220110157. The reversal of 132220110132 is 231011022231.

132220110132 is a `hidden beast` number, since 1 + 322 + 201 + 10 + 132 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395168 + ... + 1486920.

It is an arithmetic number, because the mean of its divisors is an integer number (3898627460).

Almost surely, 2132220110132 is an apocalyptic number.

132220110132 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 132220110132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187134118080).

132220110132 is an abundant number, since it is smaller than the sum of its proper divisors (242048126028).

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

132220110132 is a wasteful number, since it uses less digits than its factorization.

132220110132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92990 (or 92982 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132220110132 its reverse (231011022231), we get a palindrome (363231132363).

The spelling of 132220110132 in words is "one hundred thirty-two billion, two hundred twenty million, one hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1213 2426 3639 4852 7278 10917 13343 14556 21834 26686 32751 40029 43668 53372 65502 80058 91753 120087 131004 160116 183506 240174 275259 360261 367012 480348 550518 720522 825777 1009283 1101036 1441044 1651554 2018566 2477331 3027849 3303108 4037132 4954662 6055698 9083547 9909324 12111396 18167094 27250641 36334188 54501282 109002564 111296389 222592778 333889167 445185556 667778334 1001667501 1224260279 1335556668 2003335002 2448520558 3005002503 3672780837 4006670004 4897041116 6010005006 7345561674 11018342511 12020010012 14691123348 22036685022 33055027533 44073370044 66110055066 132220110132