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110301121 = 7151241433
BaseRepresentation
bin1101001001100…
…00111111000001
321200112212200201
412210300333001
5211214113441
614540045201
72506354420
oct644607701
9250485621
10110301121
1157297957
1230b33801
1319b0c448
14109132b7
159a3bc31
hex6930fc1

110301121 has 16 divisors (see below), whose sum is σ = 127714048. Its totient is φ = 93312000.

The previous prime is 110301119. The next prime is 110301161. The reversal of 110301121 is 121103011.

It is a 3-Lehmer number, since φ(110301121) divides (110301121-1)3.

It is a cyclic number.

It is not a de Polignac number, because 110301121 - 21 = 110301119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110301098 and 110301107.

It is not an unprimeable number, because it can be changed into a prime (110301161) 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 15 ways as a sum of consecutive naturals, for example, 254521 + ... + 254953.

It is an arithmetic number, because the mean of its divisors is an integer number (7982128).

It is a Poulet number, since it divides 2110301120-1.

Almost surely, 2110301121 is an apocalyptic number.

It is an amenable number.

110301121 is a deficient number, since it is larger than the sum of its proper divisors (17412927).

110301121 is a wasteful number, since it uses less digits than its factorization.

110301121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 110301121 is about 10502.4340512093. The cubic root of 110301121 is about 479.5787986161.

Adding to 110301121 its reverse (121103011), we get a palindrome (231404132).

The spelling of 110301121 in words is "one hundred ten million, three hundred one thousand, one hundred twenty-one".

Divisors: 1 7 151 241 433 1057 1687 3031 36391 65383 104353 254737 457681 730471 15757303 110301121