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132242100 = 22352440807
BaseRepresentation
bin1111110000111…
…01101010110100
3100012211121001120
413320131222310
5232323221400
621042223540
73164016324
oct770355264
9305747046
10132242100
11687134a1
1238354bb0
1321522183
14137c5284
15b922ca0
hex7e1dab4

132242100 has 36 divisors (see below), whose sum is σ = 382621344. Its totient is φ = 35264480.

The previous prime is 132242093. The next prime is 132242153. The reversal of 132242100 is 1242231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132242100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220104 + ... + 220703.

Almost surely, 2132242100 is an apocalyptic number.

132242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132242100 is an abundant number, since it is smaller than the sum of its proper divisors (250379244).

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

132242100 is a wasteful number, since it uses less digits than its factorization.

132242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440824 (or 440817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 132242100 is about 11499.6565166095. The cubic root of 132242100 is about 509.4754314121.

Adding to 132242100 its reverse (1242231), we get a palindrome (133484331).

The spelling of 132242100 in words is "one hundred thirty-two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 440807 881614 1322421 1763228 2204035 2644842 4408070 5289684 6612105 8816140 11020175 13224210 22040350 26448420 33060525 44080700 66121050 132242100