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132100 = 22521321
BaseRepresentation
bin100000010000000100
320201012121
4200100010
513211400
62455324
71060063
oct402004
9221177
10132100
1190281
1264544
1348187
14361da
152921a
hex20404

132100 has 18 divisors (see below), whose sum is σ = 286874. Its totient is φ = 52800.

The previous prime is 132071. The next prime is 132103. The reversal of 132100 is 1231.

132100 = T255 + T256 + ... + T258.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 101124 = 176^2 + 318^2 .

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132103) by changing a digit.

132100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561 + ... + 760.

2132100 is an apocalyptic number.

132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100 is an abundant number, since it is smaller than the sum of its proper divisors (154774).

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

132100 is a wasteful number, since it uses less digits than its factorization.

132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 132100 is about 363.4556369077. The cubic root of 132100 is about 50.9292881363.

Adding to 132100 its reverse (1231), we get a palindrome (133331).

It can be divided in two parts, 132 and 100, that added together give a palindrome (232).

The spelling of 132100 in words is "one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1321 2642 5284 6605 13210 26420 33025 66050 132100