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132424101 = 32171316607
BaseRepresentation
bin1111110010010…
…10000110100101
3100020011211201100
413321022012211
5232400032401
621050150313
73165405045
oct771120645
9306154640
10132424101
1168828207
1238422399
1321586c74
1413831725
15b95bb86
hex7e4a1a5

132424101 has 24 divisors (see below), whose sum is σ = 204107904. Its totient is φ = 82442880.

The previous prime is 132424081. The next prime is 132424141. The reversal of 132424101 is 101424231.

132424101 is a `hidden beast` number, since 13 + 242 + 410 + 1 = 666.

It is not a de Polignac number, because 132424101 - 25 = 132424069 is a prime.

It is a super-2 number, since 2×1324241012 = 35072285051316402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132424141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16740 + ... + 23346.

It is an arithmetic number, because the mean of its divisors is an integer number (8504496).

Almost surely, 2132424101 is an apocalyptic number.

It is an amenable number.

132424101 is a deficient number, since it is larger than the sum of its proper divisors (71683803).

132424101 is a wasteful number, since it uses less digits than its factorization.

132424101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132424101 is about 11507.5671190743. The cubic root of 132424101 is about 509.7090497334.

Adding to 132424101 its reverse (101424231), we get a palindrome (233848332).

It can be divided in two parts, 1324 and 24101, that added together give a triangular number (25425 = T225).

The spelling of 132424101 in words is "one hundred thirty-two million, four hundred twenty-four thousand, one hundred one".

Divisors: 1 3 9 17 51 131 153 393 1179 2227 6607 6681 19821 20043 59463 112319 336957 865517 1010871 2596551 7789653 14713789 44141367 132424101