Search a number
-
+
11113244231111 = 1179193151143853
BaseRepresentation
bin1010000110111000000011…
…1110011000010111000111
31110100102020002122200010022
42201232000332120113013
52424034411010343421
635345204240245355
72224622360233451
oct241560076302707
943312202580108
1011113244231111
1135a5111712960
1212b59a301085b
13627c88aa8129
142a5c535792d1
151441334da7ab
hexa1b80f985c7

11113244231111 has 32 divisors (see below), whose sum is σ = 12349061867520. Its totient is φ = 9916586035200.

The previous prime is 11113244231107. The next prime is 11113244231123.

11113244231111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11113244231111 - 22 = 11113244231107 is a prime.

It is a super-5 number, since 5×111132442311115 (a number of 66 digits) contains 55555 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113244231611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253398461 + ... + 253442313.

It is an arithmetic number, because the mean of its divisors is an integer number (385908183360).

Almost surely, 211113244231111 is an apocalyptic number.

11113244231111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11113244231111 is a deficient number, since it is larger than the sum of its proper divisors (1235817636409).

11113244231111 is a wasteful number, since it uses less digits than its factorization.

11113244231111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45647.

The product of its digits is 576, while the sum is 26.

It can be divided in two parts, 1111324 and 4231111, that added together give a palindrome (5342435).

The spelling of 11113244231111 in words is "eleven trillion, one hundred thirteen billion, two hundred forty-four million, two hundred thirty-one thousand, one hundred eleven".

Divisors: 1 11 79 193 869 1511 2123 15247 16621 43853 119369 167717 291623 482383 1313059 3207853 3464387 8463629 23038217 38108257 66261883 93099919 253420387 668626691 728880713 5234688757 7354893601 12788543419 57581576327 140673977609 1010294930101 11113244231111