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132231127 = 7198911171
BaseRepresentation
bin1111110000110…
…10111111010111
3100012211001000011
413320122333113
5232322344002
621042101051
73163642330
oct770327727
9305731004
10132231127
1168706226
123834a787
132151a192
14137c1287
15b91e8d7
hex7e1afd7

132231127 has 16 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 106159680.

The previous prime is 132231053. The next prime is 132231137. The reversal of 132231127 is 721132231.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132231127 is a prime.

It is a super-3 number, since 3×1322311273 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132231098 and 132231107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132231137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6252 + ... + 17422.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2132231127 is an apocalyptic number.

132231127 is a deficient number, since it is larger than the sum of its proper divisors (28645673).

132231127 is a wasteful number, since it uses less digits than its factorization.

132231127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286.

The product of its digits is 504, while the sum is 22.

The square root of 132231127 is about 11499.1794055054. The cubic root of 132231127 is about 509.4613395091.

Adding to 132231127 its reverse (721132231), we get a palindrome (853363358).

The spelling of 132231127 in words is "one hundred thirty-two million, two hundred thirty-one thousand, one hundred twenty-seven".

Divisors: 1 7 19 89 133 623 1691 11171 11837 78197 212249 994219 1485743 6959533 18890161 132231127