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12113013121 = 113740972767
BaseRepresentation
bin10110100011111110…
…11110100110000001
31011021011202211012121
423101333132212001
5144301412404441
65321543524241
7606112625026
oct132177364601
934234684177
1012113013121
115156531050
122420759681
1311b06b34b1
1482ca3954d
154ad645dd1
hex2d1fde981

12113013121 has 16 divisors (see below), whose sum is σ = 13604705280. Its totient is φ = 10687870080.

The previous prime is 12113013091. The next prime is 12113013127. The reversal of 12113013121 is 12131031121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12113013121 - 217 = 12112882049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12113013095 and 12113013104.

It is not an unprimeable number, because it can be changed into a prime (12113013127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130080 + ... + 202846.

It is an arithmetic number, because the mean of its divisors is an integer number (850294080).

Almost surely, 212113013121 is an apocalyptic number.

12113013121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12113013121 is a deficient number, since it is larger than the sum of its proper divisors (1491692159).

12113013121 is a wasteful number, since it uses less digits than its factorization.

12113013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73224.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12113013121 its reverse (12131031121), we get a palindrome (24244044242).

The spelling of 12113013121 in words is "twelve billion, one hundred thirteen million, thirteen thousand, one hundred twenty-one".

Divisors: 1 11 37 407 409 4499 15133 72767 166463 800437 2692379 29616169 29761703 327378733 1101183011 12113013121