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132132121 = 1126771613
BaseRepresentation
bin1111110000000…
…10110100011001
3100012122000012021
413320002310121
5232311211441
621040014441
73163050562
oct770026431
9305560167
10132132121
1168648900
1238301421
13214b40b4
1413797169
15b9003d1
hex7e02d19

132132121 has 12 divisors (see below), whose sum is σ = 145540836. Its totient is φ = 119868320.

The previous prime is 132132083. The next prime is 132132151. The reversal of 132132121 is 121231231.

It can be written as a sum of positive squares in 2 ways, for example, as 115025625 + 17106496 = 10725^2 + 4136^2 .

It is not a de Polignac number, because 132132121 - 29 = 132131609 is a prime.

It is a super-3 number, since 3×1321321213 (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 = 132132095 and 132132104.

It is not an unprimeable number, because it can be changed into a prime (132132151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81111 + ... + 82723.

It is an arithmetic number, because the mean of its divisors is an integer number (12128403).

Almost surely, 2132132121 is an apocalyptic number.

132132121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132132121 is a deficient number, since it is larger than the sum of its proper divisors (13408715).

132132121 is a wasteful number, since it uses less digits than its factorization.

132132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2301 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 132132121 is about 11494.8736835165. The cubic root of 132132121 is about 509.3341573435.

Adding to 132132121 its reverse (121231231), we get a palindrome (253363352).

The spelling of 132132121 in words is "one hundred thirty-two million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 121 677 1613 7447 17743 81917 195173 1092001 12012011 132132121