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132214511 = 11132361659
BaseRepresentation
bin1111110000101…
…10111011101111
3100012210012012202
413320112323233
5232321331021
621041452115
73163543022
oct770267357
9305705182
10132214511
11686a47a0
123834103b
1321512750
14137b91b9
15b919a0b
hex7e16eef

132214511 has 32 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 104227200.

The previous prime is 132214507. The next prime is 132214513. The reversal of 132214511 is 115412231.

It is not a de Polignac number, because 132214511 - 22 = 132214507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214513) 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, 200300 + ... + 200958.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2132214511 is an apocalyptic number.

132214511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132214511 is a deficient number, since it is larger than the sum of its proper divisors (32774929).

132214511 is a wasteful number, since it uses less digits than its factorization.

132214511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767.

The product of its digits is 240, while the sum is 20.

The square root of 132214511 is about 11498.4568964709. The cubic root of 132214511 is about 509.4399991878.

Adding to 132214511 its reverse (115412231), we get a palindrome (247626742).

The spelling of 132214511 in words is "one hundred thirty-two million, two hundred fourteen thousand, five hundred eleven".

Divisors: 1 11 13 23 61 143 253 299 659 671 793 1403 3289 7249 8567 8723 15157 15433 18239 40199 94237 166727 197041 200629 442189 522587 924577 2167451 5748457 10170347 12019501 132214511