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13342142301201 = 337371907928257
BaseRepresentation
bin1100001000100111010110…
…1001110000010000010001
31202020111101211121021022000
43002021311221300100101
53222044201412114301
644213143501304213
72544636503232660
oct302116551602021
952214354537260
1013342142301201
11428440955569a
1215b5968565069
1375a20a64850c
14341a98072dd7
151820d694d786
hexc2275a70411

13342142301201 has 32 divisors (see below), whose sum is σ = 23200407617280. Its totient is φ = 7418025059328.

The previous prime is 13342142301179. The next prime is 13342142301307. The reversal of 13342142301201 is 10210324124331.

13342142301201 is a `hidden beast` number, since 1 + 3 + 3 + 421 + 4 + 2 + 30 + 1 + 201 = 666.

It is not a de Polignac number, because 13342142301201 - 213 = 13342142293009 is a prime.

It is a super-2 number, since 2×133421423012012 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13342142301401) 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, 953957136 + ... + 953971121.

It is an arithmetic number, because the mean of its divisors is an integer number (725012738040).

Almost surely, 213342142301201 is an apocalyptic number.

It is an amenable number.

13342142301201 is a deficient number, since it is larger than the sum of its proper divisors (9858265316079).

13342142301201 is a wasteful number, since it uses less digits than its factorization.

13342142301201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907928310 (or 1907928304 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13342142301201 its reverse (10210324124331), we get a palindrome (23552466425532).

The spelling of 13342142301201 in words is "thirteen trillion, three hundred forty-two billion, one hundred forty-two million, three hundred one thousand, two hundred one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 2331 6993 1907928257 5723784771 13355497799 17171354313 40066493397 51514062939 70593345509 120199480191 211780036527 360598440573 494153418563 635340109581 1482460255689 1906020328743 4447380767067 13342142301201