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132243100 = 225211235227
BaseRepresentation
bin1111110000111…
…01111010011100
3100012211122102121
413320131322130
5232323234400
621042232324
73164022253
oct770357234
9305748377
10132243100
1168714220
12383556a4
1321522772
14137c579a
15b92321a
hex7e1de9c

132243100 has 72 divisors (see below), whose sum is σ = 326729088. Its totient is φ = 45988800.

The previous prime is 132243091. The next prime is 132243113. The reversal of 132243100 is 1342231.

It is a happy number.

It is a super-2 number, since 2×1322431002 = 34976474995220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22687 + ... + 27913.

It is an arithmetic number, because the mean of its divisors is an integer number (4537904).

Almost surely, 2132243100 is an apocalyptic number.

132243100 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 132243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163364544).

132243100 is an abundant number, since it is smaller than the sum of its proper divisors (194485988).

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

132243100 is a wasteful number, since it uses less digits than its factorization.

132243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132243100 is about 11499.6999960869. The cubic root of 132243100 is about 509.4767156077.

Adding to 132243100 its reverse (1342231), we get a palindrome (133585331).

The spelling of 132243100 in words is "one hundred thirty-two million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 5227 6325 10454 12650 20908 25300 26135 52270 57497 104540 114994 120221 130675 229988 240442 261350 287485 480884 522700 574970 601105 1149940 1202210 1322431 1437425 2404420 2644862 2874850 3005525 5289724 5749700 6011050 6612155 12022100 13224310 26448620 33060775 66121550 132243100