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13141343241301 = 11194115757117107
BaseRepresentation
bin1011111100111011010100…
…0110001000010001010101
31201112022002210202010200111
42333032311012020101111
53210301432332210201
643541014424443021
72524300510336162
oct277166506102125
951468083663614
1013141343241301
114207237735a10
121582a69319471
137442b9915342
14336089bcd069
1517bc8328ab51
hexbf3b5188455

13141343241301 has 64 divisors (see below), whose sum is σ = 15585218288640. Its totient is φ = 10951671744000.

The previous prime is 13141343241251. The next prime is 13141343241371. The reversal of 13141343241301 is 10314234314131.

13141343241301 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 13141343241301 - 215 = 13141343208533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141343241371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 768176590 + ... + 768193696.

It is an arithmetic number, because the mean of its divisors is an integer number (243519035760).

Almost surely, 213141343241301 is an apocalyptic number.

13141343241301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13141343241301 is a deficient number, since it is larger than the sum of its proper divisors (2443875047339).

13141343241301 is a wasteful number, since it uses less digits than its factorization.

13141343241301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17906.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 13141343241301 its reverse (10314234314131), we get a palindrome (23455577555432).

The spelling of 13141343241301 in words is "thirteen trillion, one hundred forty-one billion, three hundred forty-three million, two hundred forty-one thousand, three hundred one".

Divisors: 1 11 19 41 157 209 451 571 779 1727 2983 6281 6437 8569 10849 17107 23411 32813 70807 89647 119339 122303 188177 257521 325033 444809 701387 986117 1345333 1703293 2685799 3575363 3675527 4892899 7715257 9768097 13326353 18736223 29543789 40430797 51030181 69835013 107449067 110117759 146589883 185593843 400491977 561331991 768185143 1211295349 1533591229 2041532273 2092237421 4405411747 7609347563 16869503519 23014611631 29138233351 62877240389 83702823193 320520566861 691649644279 1194667567391 13141343241301