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14121212141 = 611032279901
BaseRepresentation
bin11010010011011000…
…01001100011101101
31100110010112220101002
431021230021203231
5212410012242031
610253122330045
71006636215461
oct151154114355
940403486332
1014121212141
115a97068763
1228a11b9925
13144076b73a
1497d62a4a1
15579ac7ccb
hex349b098ed

14121212141 has 16 divisors (see below), whose sum is σ = 14557365888. Its totient is φ = 13692888000.

The previous prime is 14121212107. The next prime is 14121212143.

14121212141 is nontrivially palindromic in base 10.

14121212141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14121212141 is a prime.

It is a super-2 number, since 2×141212121412 (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121212143) 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 15 ways as a sum of consecutive naturals, for example, 1421291 + ... + 1431191.

It is an arithmetic number, because the mean of its divisors is an integer number (909835368).

Almost surely, 214121212141 is an apocalyptic number.

It is an amenable number.

14121212141 is a deficient number, since it is larger than the sum of its proper divisors (436153747).

14121212141 is a wasteful number, since it uses less digits than its factorization.

14121212141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10292.

The product of its digits is 128, while the sum is 20.

The spelling of 14121212141 in words is "fourteen billion, one hundred twenty-one million, two hundred twelve thousand, one hundred forty-one".

Divisors: 1 61 103 227 6283 9901 13847 23381 603961 1019803 1426241 2247527 62207983 137099147 231495281 14121212141