Search a number
-
+
13421122440201 = 32741107347139943
BaseRepresentation
bin1100001101001101100100…
…1111000100110000001001
31202112001021002200001000100
43003103121033010300021
53224342424321041301
644313324544000013
72553433632313620
oct303233117046011
952461232601010
1013421122440201
114304958803043
12160912a900009
137647b63ab088
1434582b5b06b7
151841aa616286
hexc34d93c4c09

13421122440201 has 96 divisors (see below), whose sum is σ = 22974174332928. Its totient is φ = 7390818420480.

The previous prime is 13421122440197. The next prime is 13421122440223. The reversal of 13421122440201 is 10204422112431.

13421122440201 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 12 + 2 + 440 + 201 = 666.

It is not a de Polignac number, because 13421122440201 - 22 = 13421122440197 is a prime.

It is a super-3 number, since 3×134211224402013 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13421122441201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 95834236 + ... + 95974178.

It is an arithmetic number, because the mean of its divisors is an integer number (239314315968).

Almost surely, 213421122440201 is an apocalyptic number.

It is an amenable number.

13421122440201 is a deficient number, since it is larger than the sum of its proper divisors (9553051892727).

13421122440201 is a wasteful number, since it uses less digits than its factorization.

13421122440201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140451 (or 140448 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13421122440201 its reverse (10204422112431), we get a palindrome (23625544552632).

The spelling of 13421122440201 in words is "thirteen trillion, four hundred twenty-one billion, one hundred twenty-two million, four hundred forty thousand, two hundred one".

Divisors: 1 3 7 9 21 41 63 107 123 287 321 347 369 749 861 963 1041 2247 2429 2583 3123 4387 6741 7287 13161 14227 21861 30709 37129 39483 42681 92127 99589 111387 128043 139943 259903 276381 298767 334161 419829 779709 896301 979601 1259487 1522289 2339127 2938803 4566867 5737663 8816409 10656023 13700601 14973901 17212989 31968069 40163641 44921703 48560221 51638967 95904207 104817307 120490923 134765109 145680663 314451921 339921547 361472769 437041989 613929941 943355763 1019764641 1841789823 1990969061 3059293923 4297509587 5195943647 5525369469 5972907183 12892528761 13936783427 15587830941 17918721549 36371605529 38677586283 41810350281 46763492823 109114816587 125431050843 213033689527 327344449761 639101068581 1491235826689 1917303205743 4473707480067 13421122440201