Search a number
-
+
11143241231001 = 3111924352341593
BaseRepresentation
bin1010001000100111110011…
…1011110110101010011001
31110110021122122022011010020
42202021330323312222121
52430032324223343001
635411045004141053
72230033622435565
oct242117473665231
943407578264106
1011143241231001
113606905197960
1212bb774b37789
1362aa5965c7c9
142a749b4426a5
15144cdbc20736
hexa227cef6a99

11143241231001 has 96 divisors (see below), whose sum is σ = 17538032236032. Its totient is φ = 6237142974720.

The previous prime is 11143241230943. The next prime is 11143241231119. The reversal of 11143241231001 is 10013214234111.

It is not a de Polignac number, because 11143241231001 - 27 = 11143241230873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11143241231401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267890661 + ... + 267932253.

It is an arithmetic number, because the mean of its divisors is an integer number (182687835792).

Almost surely, 211143241231001 is an apocalyptic number.

11143241231001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11143241231001 is a deficient number, since it is larger than the sum of its proper divisors (6394791005031).

11143241231001 is a wasteful number, since it uses less digits than its factorization.

11143241231001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42211 (or 42192 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11143241231001 its reverse (10013214234111), we get a palindrome (21156455465112).

The spelling of 11143241231001 in words is "eleven trillion, one hundred forty-three billion, two hundred forty-one million, two hundred thirty-one thousand, one".

Divisors: 1 3 11 19 33 43 57 129 209 361 473 523 627 817 1083 1419 1569 2451 3971 5753 8987 9937 11913 15523 17259 22489 26961 29811 41593 46569 67467 109307 124779 170753 188803 247379 327921 427291 457523 512259 566409 742137 790267 1281873 1372569 1788499 2076833 2370801 4700201 5365497 6230499 8118529 8692937 14100603 15015073 19673489 21753139 24355587 26078811 33981481 45045219 59020467 65259417 89303819 101944443 165165803 239284529 267911457 373796291 413309641 495497409 645648139 717853587 935384977 1121388873 1239928923 1936944417 2806154931 4546406051 7102129529 7852883179 10289234747 13639218153 17772314563 21306388587 23558649537 30867704241 53316943689 86381714969 195495460193 259145144907 337673976697 586486380579 1013021930091 3714413743667 11143241231001