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13413314430201 = 3719151787221477
BaseRepresentation
bin1100001100110000011111…
…0101111000010011111001
31202111022002221112000212210
43003030013311320103321
53224230431443231301
644305554103125333
72553036302320230
oct303140765702371
952438087460783
1013413314430201
114301611347614
12160770ba43849
13763b4087940a
143452ca601b17
15183d9ede1ad6
hexc3307d784f9

13413314430201 has 32 divisors (see below), whose sum is σ = 21515329704960. Its totient is φ = 7261262525376.

The previous prime is 13413314430149. The next prime is 13413314430253. The reversal of 13413314430201 is 10203441331431.

It is an interprime number because it is at equal distance from previous prime (13413314430149) and next prime (13413314430253).

It is not a de Polignac number, because 13413314430201 - 214 = 13413314413817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13413314430281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60452275 + ... + 60673751.

It is an arithmetic number, because the mean of its divisors is an integer number (672354053280).

Almost surely, 213413314430201 is an apocalyptic number.

It is an amenable number.

13413314430201 is a deficient number, since it is larger than the sum of its proper divisors (8102015274759).

13413314430201 is a wasteful number, since it uses less digits than its factorization.

13413314430201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373293.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13413314430201 its reverse (10203441331431), we get a palindrome (23616755761632).

The spelling of 13413314430201 in words is "thirteen trillion, four hundred thirteen billion, three hundred fourteen million, four hundred thirty thousand, two hundred one".

Divisors: 1 3 7 19 21 57 133 399 151787 221477 455361 664431 1062509 1550339 2883953 3187527 4208063 4651017 8651859 12624189 20187671 29456441 60563013 88369323 33617329399 100851988197 235321305793 638729258581 705963917379 1916187775743 4471104810067 13413314430201