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14121111201 = 3192910382939
BaseRepresentation
bin11010010011010111…
…10000111010100001
31100110010100202220120
431021223300322201
5212410001024301
610253120230453
71006635315261
oct151153607241
940403322816
1014121111201
115a96aa993a
1228a116b429
131440734802
1497d6017a1
15579aa7e36
hex349af0ea1

14121111201 has 32 divisors (see below), whose sum is σ = 20701824000. Its totient is φ = 8527353408.

The previous prime is 14121111181. The next prime is 14121111203. The reversal of 14121111201 is 10211112141.

It is a happy number.

14121111201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14121111201 - 211 = 14121109153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14121111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128790 + ... + 211728.

It is an arithmetic number, because the mean of its divisors is an integer number (646932000).

Almost surely, 214121111201 is an apocalyptic number.

It is an amenable number.

14121111201 is a deficient number, since it is larger than the sum of its proper divisors (6580712799).

14121111201 is a wasteful number, since it uses less digits than its factorization.

14121111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83093.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 14121111201 its reverse (10211112141), we get a palindrome (24332223342).

The spelling of 14121111201 in words is "fourteen billion, one hundred twenty-one million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 19 29 57 87 103 309 551 1653 1957 2987 5871 8961 56753 82939 170259 248817 1575841 2405231 4727523 7215693 8542717 25628151 45699389 137098167 162311623 247738793 486934869 743216379 4707037067 14121111201