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132213123 = 327342829
BaseRepresentation
bin1111110000101…
…10100110000011
3100012210010022100
413320112212003
5232321304443
621041441443
73163536000
oct770264603
9305703270
10132213123
11686a3749
1238340283
1321511c23
14137b88a7
15b9193d3
hex7e16983

132213123 has 24 divisors (see below), whose sum is σ = 222716000. Its totient is φ = 75548592.

The previous prime is 132213073. The next prime is 132213143. The reversal of 132213123 is 321312231.

It is not a de Polignac number, because 132213123 - 28 = 132212867 is a prime.

It is a super-3 number, since 3×1322131233 (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 = 132213096 and 132213105.

It is not an unprimeable number, because it can be changed into a prime (132213143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18328 + ... + 24501.

Almost surely, 2132213123 is an apocalyptic number.

132213123 is a deficient number, since it is larger than the sum of its proper divisors (90502877).

132213123 is an equidigital number, since it uses as much as digits as its factorization.

132213123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42856 (or 42839 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 132213123 is about 11498.3965403877. The cubic root of 132213123 is about 509.4382164657.

Adding to 132213123 its reverse (321312231), we get a palindrome (453525354).

The spelling of 132213123 in words is "one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 3087 42829 128487 299803 385461 899409 2098621 2698227 6295863 14690347 18887589 44071041 132213123