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132111011 = 23131163269
BaseRepresentation
bin1111101111111…
…01101010100011
3100012120221020102
413313331222203
5232310023021
621035333015
73162632204
oct767755243
9305527212
10132111011
1168633a5a
12382b116b
13214a75c6
141378d5ab
15b8e900b
hex7dfdaa3

132111011 has 16 divisors (see below), whose sum is σ = 140279040. Its totient is φ = 124169760.

The previous prime is 132110983. The next prime is 132111041. The reversal of 132111011 is 110111231.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132111011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132110983 and 132111001.

It is not an unprimeable number, because it can be changed into a prime (132111041) 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, 490985 + ... + 491253.

It is an arithmetic number, because the mean of its divisors is an integer number (8767440).

Almost surely, 2132111011 is an apocalyptic number.

132111011 is a deficient number, since it is larger than the sum of its proper divisors (8168029).

132111011 is a wasteful number, since it uses less digits than its factorization.

132111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 132111011 is about 11493.9554114326. The cubic root of 132111011 is about 509.3070314218.

Adding to 132111011 its reverse (110111231), we get a palindrome (242222242).

The spelling of 132111011 in words is "one hundred thirty-two million, one hundred eleven thousand, eleven".

Divisors: 1 23 131 163 269 3013 3749 6187 21353 35239 43847 491119 810497 1008481 5743957 132111011