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14141122121 = 721729575741
BaseRepresentation
bin11010010101110000…
…00110011001001001
31100111112000102201202
431022320012121021
5212430111401441
610255113153545
71010300361200
oct151270063111
940445012652
1014141122121
115aa7327395
1228a79bb8b5
13144491cba9
14982130237
1557b70c19b
hex34ae06649

14141122121 has 24 divisors (see below), whose sum is σ = 17426441736. Its totient is φ = 11402119680.

The previous prime is 14141122117. The next prime is 14141122123. The reversal of 14141122121 is 12122114141.

It can be written as a sum of positive squares in 4 ways, for example, as 1854508096 + 12286614025 = 43064^2 + 110845^2 .

It is not a de Polignac number, because 14141122121 - 22 = 14141122117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14141122093 and 14141122102.

It is not an unprimeable number, because it can be changed into a prime (14141122123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2460311 + ... + 2466051.

It is an arithmetic number, because the mean of its divisors is an integer number (726101739).

Almost surely, 214141122121 is an apocalyptic number.

It is an amenable number.

14141122121 is a deficient number, since it is larger than the sum of its proper divisors (3285319615).

14141122121 is a wasteful number, since it uses less digits than its factorization.

14141122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8729 (or 8722 counting only the distinct ones).

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

Adding to 14141122121 its reverse (12122114141), we get a palindrome (26263236262).

The spelling of 14141122121 in words is "fourteen billion, one hundred forty-one million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 17 49 119 833 2957 5741 20699 40187 50269 97597 144893 281309 351883 683179 2463181 4782253 16976137 118832959 288594329 831830713 2020160303 14141122121