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132321319 = 13171035813
BaseRepresentation
bin1111110001100…
…01000000100111
3100012222121201121
413320301000213
5232333240234
621044034411
73164466304
oct770610047
9305877647
10132321319
1168767a69
1238392a07
132154c250
14138060ab
15b93b4b4
hex7e31027

132321319 has 16 divisors (see below), whose sum is σ = 152373312. Its totient is φ = 113822208.

The previous prime is 132321311. The next prime is 132321341. The reversal of 132321319 is 913123231.

It is not a de Polignac number, because 132321319 - 23 = 132321311 is a prime.

It is a super-2 number, since 2×1323213192 = 35017862923799522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132321293 and 132321302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132321311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19857 + ... + 25669.

It is an arithmetic number, because the mean of its divisors is an integer number (9523332).

Almost surely, 2132321319 is an apocalyptic number.

132321319 is a deficient number, since it is larger than the sum of its proper divisors (20051993).

132321319 is a wasteful number, since it uses less digits than its factorization.

132321319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946.

The product of its digits is 972, while the sum is 25.

The square root of 132321319 is about 11503.1004081508. The cubic root of 132321319 is about 509.5771440480.

The spelling of 132321319 in words is "one hundred thirty-two million, three hundred twenty-one thousand, three hundred nineteen".

Divisors: 1 13 17 103 221 1339 1751 5813 22763 75569 98821 598739 1284673 7783607 10178563 132321319