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132322112 = 26131571013
BaseRepresentation
bin1111110001100…
…01001101000000
3100012222122210222
413320301031000
5232333301422
621044042212
73164501516
oct770611500
9305878728
10132322112
116876861a
1238393368
132154c710
14138064b6
15b93b842
hex7e31340

132322112 has 56 divisors (see below), whose sum is σ = 284856936. Its totient is φ = 60622848.

The previous prime is 132322097. The next prime is 132322117. The reversal of 132322112 is 211223231.

It can be written as a sum of positive squares in 4 ways, for example, as 10086976 + 122235136 = 3176^2 + 11056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132322117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130118 + ... + 131130.

It is an arithmetic number, because the mean of its divisors is an integer number (5086731).

Almost surely, 2132322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142428468).

132322112 is an abundant number, since it is smaller than the sum of its proper divisors (152534824).

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

132322112 is a wasteful number, since it uses less digits than its factorization.

132322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1185 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 132322112 is about 11503.1348770672. The cubic root of 132322112 is about 509.5781620091.

Adding to 132322112 its reverse (211223231), we get a palindrome (343545343).

The spelling of 132322112 in words is "one hundred thirty-two million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 157 208 314 416 628 832 1013 1256 2026 2041 2512 4052 4082 5024 8104 8164 10048 13169 16208 16328 26338 32416 32656 52676 64832 65312 105352 130624 159041 210704 318082 421408 636164 842816 1272328 2067533 2544656 4135066 5089312 8270132 10178624 16540264 33080528 66161056 132322112