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132220033 = 11173532003
BaseRepresentation
bin1111110000110…
…00010010000001
3100012210110210021
413320120102001
5232322020113
621041533441
73163565101
oct770302201
9305713707
10132220033
11686a8960
1238344281
132151510a
14137bb201
15b91b48d
hex7e18481

132220033 has 16 divisors (see below), whose sum is σ = 153233856. Its totient is φ = 112752640.

The previous prime is 132219973. The next prime is 132220037. The reversal of 132220033 is 330022231.

It is a de Polignac number, because none of the positive numbers 2k-132220033 is a prime.

It is a super-3 number, since 3×1322200333 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132219989 and 132220016.

It is not an unprimeable number, because it can be changed into a prime (132220037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65010 + ... + 67012.

It is an arithmetic number, because the mean of its divisors is an integer number (9577116).

Almost surely, 2132220033 is an apocalyptic number.

It is an amenable number.

132220033 is a deficient number, since it is larger than the sum of its proper divisors (21013823).

132220033 is a wasteful number, since it uses less digits than its factorization.

132220033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 132220033 is about 11498.6970131402. The cubic root of 132220033 is about 509.4470914212.

Adding to 132220033 its reverse (330022231), we get a palindrome (462242264).

The spelling of 132220033 in words is "one hundred thirty-two million, two hundred twenty thousand, thirty-three".

Divisors: 1 11 17 187 353 2003 3883 6001 22033 34051 66011 374561 707059 7777649 12020003 132220033