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132011121121 = 1129722694957
BaseRepresentation
bin111101011110001111…
…0011101100111100001
3110121202002012210011021
41322330132131213201
54130324321333441
6140351200245441
712352234005145
oct1727436354741
9417662183137
10132011121121
1150a92922200
1221702310881
13c5aa743b29
14656461b225
1536796c13d1
hex1ebc79d9e1

132011121121 has 24 divisors (see below), whose sum is σ = 146693238440. Its totient is φ = 118696596480.

The previous prime is 132011121107. The next prime is 132011121181. The reversal of 132011121121 is 121121110231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9466317025 + 122544804096 = 97295^2 + 350064^2 .

It is not a de Polignac number, because 132011121121 - 25 = 132011121089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132011121095 and 132011121104.

It is not an unprimeable number, because it can be changed into a prime (132011121181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26628775 + ... + 26633731.

Almost surely, 2132011121121 is an apocalyptic number.

132011121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132011121121 is a deficient number, since it is larger than the sum of its proper divisors (14682117319).

132011121121 is a wasteful number, since it uses less digits than its factorization.

132011121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 132011121121 its reverse (121121110231), we get a palindrome (253132231352).

The spelling of 132011121121 in words is "one hundred thirty-two billion, eleven million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 97 121 1067 2269 4957 11737 24959 54527 220093 274549 480829 599797 2421023 5289119 11247433 26631253 58180309 123721763 1091001001 1360939393 12001011011 132011121121