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12542460201 = 337913144887
BaseRepresentation
bin10111010111001011…
…01100000100101001
31012101002211222212000
423223211230010221
5201141332211301
65432324241213
7622546103235
oct135345540451
935332758760
1012542460201
115356989a97
122520540209
13124b6651ab
1486daa75c5
154d61c4786
hex2eb96c129

12542460201 has 32 divisors (see below), whose sum is σ = 18960691200. Its totient is φ = 8192592720.

The previous prime is 12542460173. The next prime is 12542460223. The reversal of 12542460201 is 10206424521.

12542460201 is a `hidden beast` number, since 1 + 2 + 54 + 2 + 4 + 602 + 0 + 1 = 666.

12542460201 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 12542460201 - 25 = 12542460169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12542460251) 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, 256980 + ... + 301866.

It is an arithmetic number, because the mean of its divisors is an integer number (592521600).

Almost surely, 212542460201 is an apocalyptic number.

It is an amenable number.

12542460201 is a deficient number, since it is larger than the sum of its proper divisors (6418230999).

12542460201 is a wasteful number, since it uses less digits than its factorization.

12542460201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45106 (or 45100 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12542460201 its reverse (10206424521), we get a palindrome (22748884722).

The spelling of 12542460201 in words is "twelve billion, five hundred forty-two million, four hundred sixty thousand, two hundred one".

Divisors: 1 3 9 27 79 131 237 393 711 1179 2133 3537 10349 31047 44887 93141 134661 279423 403983 1211949 3546073 5880197 10638219 17640591 31914657 52921773 95743971 158765319 464535563 1393606689 4180820067 12542460201