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132314091 = 37132112297
BaseRepresentation
bin1111110001011…
…11001111101011
3100012222020210220
413320233033223
5232333022331
621043541123
73164436240
oct770571753
9305866726
10132314091
1168762598
123838a7a3
1321548b80
14138035c7
15b939296
hex7e2f3eb

132314091 has 32 divisors (see below), whose sum is σ = 218254848. Its totient is φ = 69431040.

The previous prime is 132314089. The next prime is 132314099. The reversal of 132314091 is 190413231.

It is not a de Polignac number, because 132314091 - 21 = 132314089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132314099) 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 31 ways as a sum of consecutive naturals, for example, 56455 + ... + 58751.

It is an arithmetic number, because the mean of its divisors is an integer number (6820464).

Almost surely, 2132314091 is an apocalyptic number.

132314091 is a deficient number, since it is larger than the sum of its proper divisors (85940757).

132314091 is a wasteful number, since it uses less digits than its factorization.

132314091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 132314091 is about 11502.7862276928. The cubic root of 132314091 is about 509.5678653954.

It can be divided in two parts, 1323140 and 91, that added together give a palindrome (1323231).

The spelling of 132314091 in words is "one hundred thirty-two million, three hundred fourteen thousand, ninety-one".

Divisors: 1 3 7 13 21 39 91 211 273 633 1477 2297 2743 4431 6891 8229 16079 19201 29861 48237 57603 89583 209027 484667 627081 1454001 3392669 6300671 10178007 18902013 44104697 132314091