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132112200 = 233521137541
BaseRepresentation
bin1111101111111…
…01111101001000
3100012120222212110
413313331331020
5232310042300
621035342320
73162635523
oct767757510
9305528773
10132112200
1168634940
12382b19a0
13214a7ccc
141378dbba
15b8e9550
hex7dfdf48

132112200 has 192 divisors, whose sum is σ = 459702720. Its totient is φ = 31104000.

The previous prime is 132112181. The next prime is 132112213. The reversal of 132112200 is 2211231.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243930 + ... + 244470.

It is an arithmetic number, because the mean of its divisors is an integer number (2394285).

Almost surely, 2132112200 is an apocalyptic number.

132112200 is a gapful number since it is divisible by the number (10) 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 132112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229851360).

132112200 is an abundant number, since it is smaller than the sum of its proper divisors (327590520).

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

132112200 is a wasteful number, since it uses less digits than its factorization.

132112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132112200 is about 11494.0071341547. The cubic root of 132112200 is about 509.3085593395.

Adding to 132112200 its reverse (2211231), we get a palindrome (134323431).

The spelling of 132112200 in words is "one hundred thirty-two million, one hundred twelve thousand, two hundred".