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13142412205 = 5131031963019
BaseRepresentation
bin11000011110101100…
…10100101110101101
31020220220202201021121
430033112110232231
5203403424142310
610012035300541
7643452442366
oct141726245655
936826681247
1013142412205
11563460489a
12266944a751
131315a44c90
148c963ab6d
1551dbd30da
hex30f594bad

13142412205 has 16 divisors (see below), whose sum is σ = 17148942720. Its totient is φ = 9610936128.

The previous prime is 13142412197. The next prime is 13142412223. The reversal of 13142412205 is 50221424131.

It is a cyclic number.

It is not a de Polignac number, because 13142412205 - 23 = 13142412197 is a prime.

It is a super-3 number, since 3×131424122053 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13142412205.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 974815 + ... + 988204.

It is an arithmetic number, because the mean of its divisors is an integer number (1071808920).

Almost surely, 213142412205 is an apocalyptic number.

It is an amenable number.

13142412205 is a deficient number, since it is larger than the sum of its proper divisors (4006530515).

13142412205 is a wasteful number, since it uses less digits than its factorization.

13142412205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963140.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 13142412205 its reverse (50221424131), we get a palindrome (63363836336).

The spelling of 13142412205 in words is "thirteen billion, one hundred forty-two million, four hundred twelve thousand, two hundred five".

Divisors: 1 5 13 65 103 515 1339 6695 1963019 9815095 25519247 127596235 202190957 1010954785 2628482441 13142412205