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14141220121 = 7431313607
BaseRepresentation
bin11010010101110000…
…11110010100011001
31100111112012102011101
431022320132110121
5212430123020441
610255115231401
71010301250000
oct151270362431
940445172141
1014141220121
115aa7393a86
1228a7a48561
131444955692
14982157c37
1557b72b231
hex34ae1e519

14141220121 has 40 divisors (see below), whose sum is σ = 17111824384. Its totient is φ = 11673305280.

The previous prime is 14141220113. The next prime is 14141220167. The reversal of 14141220121 is 12102214141.

It is a happy number.

14141220121 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 14141220121 - 23 = 14141220113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14141220101) 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 39 ways as a sum of consecutive naturals, for example, 23296600 + ... + 23297206.

Almost surely, 214141220121 is an apocalyptic number.

It is an amenable number.

14141220121 is a deficient number, since it is larger than the sum of its proper divisors (2970604263).

14141220121 is an frugal number, since it uses more digits than its factorization.

14141220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 14141220121 its reverse (12102214141), we get a palindrome (26243434262).

The spelling of 14141220121 in words is "fourteen billion, one hundred forty-one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 31 49 217 313 343 607 1519 2191 2401 4249 9703 10633 15337 18817 29743 67921 74431 107359 131719 189991 208201 475447 751513 922033 1329937 1457407 3328129 5889721 6454231 9309559 23296903 41228047 45179617 65166913 288596329 456168391 2020174303 14141220121