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14242110201 = 351139713421
BaseRepresentation
bin11010100001110010…
…10101101011111001
31100202120001011100000
431100321111223321
5213131440011301
610313121503213
71012634640114
oct152071255371
940676034300
1014242110201
116049333210
1229157a1b09
13145c81b357
149916db57b
15585509786
hex350e55af9

14242110201 has 48 divisors (see below), whose sum is σ = 23333663808. Its totient is φ = 8609198400.

The previous prime is 14242110097. The next prime is 14242110217. The reversal of 14242110201 is 10201124241.

14242110201 is a `hidden beast` number, since 1 + 42 + 421 + 1 + 0 + 201 = 666.

It is not a de Polignac number, because 14242110201 - 219 = 14241585913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14242110271) 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 47 ways as a sum of consecutive naturals, for example, 1054471 + ... + 1067891.

It is an arithmetic number, because the mean of its divisors is an integer number (486117996).

Almost surely, 214242110201 is an apocalyptic number.

14242110201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14242110201 is a deficient number, since it is larger than the sum of its proper divisors (9091553607).

14242110201 is a wasteful number, since it uses less digits than its factorization.

14242110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13844 (or 13832 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14242110201 its reverse (10201124241), we get a palindrome (24443234442).

The spelling of 14242110201 in words is "fourteen billion, two hundred forty-two million, one hundred ten thousand, two hundred one".

Divisors: 1 3 9 11 27 33 81 99 243 297 397 891 1191 2673 3573 4367 10719 13101 13421 32157 39303 40263 96471 117909 120789 147631 353727 362367 442893 1061181 1087101 1328679 3261303 3986037 5328137 11958111 15984411 35874333 47953233 58609507 143859699 175828521 431579097 527485563 1294737291 1582456689 4747370067 14242110201