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13421313141231 = 3311733114016689
BaseRepresentation
bin1100001101001110010010…
…0110100010100111101111
31202112001202101111122122110
43003103210212202213233
53224343322131004411
644313355515215103
72553441436251402
oct303234446424757
952461671448573
1013421313141231
114304a464145a6
121609182747493
13764816a5a918
14345848a51d39
151841bc2352a6
hexc34e49a29ef

13421313141231 has 64 divisors (see below), whose sum is σ = 18688135864320. Its totient is φ = 8558499840000.

The previous prime is 13421313141217. The next prime is 13421313141239. The reversal of 13421313141231 is 13214131312431.

It is a happy number.

It is not a de Polignac number, because 13421313141231 - 26 = 13421313141167 is a prime.

It is a super-2 number, since 2×134213131412312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13421313141239) 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 63 ways as a sum of consecutive naturals, for example, 2006471935 + ... + 2006478623.

It is an arithmetic number, because the mean of its divisors is an integer number (292002122880).

Almost surely, 213421313141231 is an apocalyptic number.

13421313141231 is a deficient number, since it is larger than the sum of its proper divisors (5266822723089).

13421313141231 is a wasteful number, since it uses less digits than its factorization.

13421313141231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608.

The product of its digits is 5184, while the sum is 30.

Adding to 13421313141231 its reverse (13214131312431), we get a palindrome (26635444453662).

The spelling of 13421313141231 in words is "thirteen trillion, four hundred twenty-one billion, three hundred thirteen million, one hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 31 93 173 311 401 519 933 1203 5363 6689 9641 12431 16089 20067 28923 37293 53803 69373 124711 161409 207359 208119 374133 622077 1157197 1667893 2080279 2150563 2682289 3471591 3866041 5003679 6240837 6451689 8046867 11598123 21575003 35873107 64488649 64725009 83150959 107619321 193465947 249452877 359888267 464035997 668825093 834191879 1079664801 1392107991 2006475279 2502575637 11156536277 14385115907 25859948249 33469608831 43155347721 77579844747 144315195067 432945585201 4473771047077 13421313141231