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121121113 is a prime number
BaseRepresentation
bin1110011100000…
…10100101011001
322102220120221011
413032002211121
5222001333423
620004013521
73000340531
oct716024531
9272816834
10121121113
11624080a3
12346912a1
131c12a2c9
141212c4c1
15a977b0d
hex7382959

121121113 has 2 divisors, whose sum is σ = 121121114. Its totient is φ = 121121112.

The previous prime is 121121083. The next prime is 121121129. The reversal of 121121113 is 311121121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107081104 + 14040009 = 10348^2 + 3747^2 .

It is an emirp because it is prime and its reverse (311121121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121121113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121121093 and 121121102.

It is not a weakly prime, because it can be changed into another prime (121121183) 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 as a sum of consecutive naturals, namely, 60560556 + 60560557.

It is an arithmetic number, because the mean of its divisors is an integer number (60560557).

Almost surely, 2121121113 is an apocalyptic number.

It is an amenable number.

121121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121113 is an equidigital number, since it uses as much as digits as its factorization.

121121113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12, while the sum is 13.

The square root of 121121113 is about 11005.5037594833. The cubic root of 121121113 is about 494.7737128468.

Adding to 121121113 its reverse (311121121), we get a palindrome (432242234).

It can be divided in two parts, 12112 and 1113, that added together give a square (13225 = 1152).

The spelling of 121121113 in words is "one hundred twenty-one million, one hundred twenty-one thousand, one hundred thirteen".