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121144041 = 3289151241
BaseRepresentation
bin1110011100010…
…00001011101001
322102221202101100
413032020023221
5222003102131
620004312013
73000464424
oct716101351
9272852340
10121144041
1162423347
12346a2609
131c137885
14121369bb
15a97e7e6
hex73882e9

121144041 has 12 divisors (see below), whose sum is σ = 176953140. Its totient is φ = 79854720.

The previous prime is 121144039. The next prime is 121144069. The reversal of 121144041 is 140441121.

It can be written as a sum of positive squares in 2 ways, for example, as 19053225 + 102090816 = 4365^2 + 10104^2 .

It is not a de Polignac number, because 121144041 - 21 = 121144039 is a prime.

It is a super-3 number, since 3×1211440413 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121145041) 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, 74820 + ... + 76421.

It is an arithmetic number, because the mean of its divisors is an integer number (14746095).

Almost surely, 2121144041 is an apocalyptic number.

It is an amenable number.

121144041 is a deficient number, since it is larger than the sum of its proper divisors (55809099).

121144041 is a wasteful number, since it uses less digits than its factorization.

121144041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151336 (or 151333 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 121144041 is about 11006.5453708237. The cubic root of 121144041 is about 494.8049307897.

Adding to 121144041 its reverse (140441121), we get a palindrome (261585162).

The spelling of 121144041 in words is "one hundred twenty-one million, one hundred forty-four thousand, forty-one".

Divisors: 1 3 9 89 267 801 151241 453723 1361169 13460449 40381347 121144041