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132100221 = 31147531607
BaseRepresentation
bin1111101111110…
…11000001111101
3100012120101102210
413313323001331
5232304201341
621035211033
73162555561
oct767730175
9305511383
10132100221
1168626940
12382a6a79
13214a2716
14137896a1
15b8e5c16
hex7dfb07d

132100221 has 32 divisors (see below), whose sum is σ = 200060928. Its totient is φ = 76831040.

The previous prime is 132100187. The next prime is 132100291. The reversal of 132100221 is 122001231.

It is not a de Polignac number, because 132100221 - 27 = 132100093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132100197 and 132100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100291) 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, 81400 + ... + 83006.

It is an arithmetic number, because the mean of its divisors is an integer number (6251904).

Almost surely, 2132100221 is an apocalyptic number.

132100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132100221 is a deficient number, since it is larger than the sum of its proper divisors (67960707).

132100221 is a wasteful number, since it uses less digits than its factorization.

132100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132100221 is about 11493.4860247011. The cubic root of 132100221 is about 509.2931653747.

Adding to 132100221 its reverse (122001231), we get a palindrome (254101452).

The spelling of 132100221 in words is "one hundred thirty-two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 33 47 53 141 159 517 583 1551 1607 1749 2491 4821 7473 17677 27401 53031 75529 82203 85171 226587 255513 830819 936881 2492457 2810643 4003037 12009111 44033407 132100221