Search a number
-
+
11431034042241 = 3112592392233207
BaseRepresentation
bin1010011001010111111010…
…1110010011011110000001
31111110210111102020201222010
42212111332232103132001
52444241224203322431
640151202231003133
72256602452116522
oct246257656233601
944423442221863
1011431034042241
11370796878a600
1213474b22094a9
1364bc324234a8
142b739d232849
1514c532884846
hexa657eb93781

11431034042241 has 48 divisors (see below), whose sum is σ = 17108159846400. Its totient is φ = 6781978637280.

The previous prime is 11431034042221. The next prime is 11431034042243. The reversal of 11431034042241 is 14224043013411.

It is a happy number.

It is not a de Polignac number, because 11431034042241 - 25 = 11431034042209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11431034042199 and 11431034042208.

It is not an unprimeable number, because it can be changed into a prime (11431034042243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4002060 + ... + 6235266.

It is an arithmetic number, because the mean of its divisors is an integer number (356419996800).

Almost surely, 211431034042241 is an apocalyptic number.

11431034042241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11431034042241 is a deficient number, since it is larger than the sum of its proper divisors (5677125804159).

11431034042241 is a wasteful number, since it uses less digits than its factorization.

11431034042241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233530 (or 2233519 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11431034042241 its reverse (14224043013411), we get a palindrome (25655077055652).

The spelling of 11431034042241 in words is "eleven trillion, four hundred thirty-one billion, thirty-four million, forty-two thousand, two hundred forty-one".

Divisors: 1 3 11 33 59 121 177 239 363 649 717 1947 2629 7139 7887 14101 21417 28919 42303 86757 155111 465333 1706221 2233207 5118663 6699621 24565277 73695831 131759213 270218047 395277639 533736473 810654141 1449351343 1601209419 4348054029 5871101203 15942864773 17613303609 31490451907 47828594319 64582113233 94471355721 193746339699 346394970977 1039184912931 3810344680747 11431034042241