Search a number
-
+
11432211223411 = 112891657640667
BaseRepresentation
bin1010011001011100010011…
…1000111001001101110011
31111110220112110022201221201
42212113010320321031303
52444301132033122121
640151515122032031
72256643565025556
oct246270470711563
944426473281851
1011432211223411
113708412220200
1213477804a8617
1364c08c2884b4
142b747170269d
1514c5a0db3e91
hexa65c4e39373

11432211223411 has 24 divisors (see below), whose sum is σ = 12714863701680. Its totient is φ = 10269927233280.

The previous prime is 11432211223369. The next prime is 11432211223439.

11432211223411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11432211223411 - 217 = 11432211092339 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11432211223411.

It is not an unprimeable number, because it can be changed into a prime (11432211923411) 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 23 ways as a sum of consecutive naturals, for example, 17523900 + ... + 18164566.

It is an arithmetic number, because the mean of its divisors is an integer number (529785987570).

Almost surely, 211432211223411 is an apocalyptic number.

11432211223411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11432211223411 is a deficient number, since it is larger than the sum of its proper divisors (1282652478269).

11432211223411 is a wasteful number, since it uses less digits than its factorization.

11432211223411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642435 (or 642424 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1143221 and 1223411, that added together give a palindrome (2366632).

The spelling of 11432211223411 in words is "eleven trillion, four hundred thirty-two billion, two hundred eleven million, two hundred twenty-three thousand, four hundred eleven".

Divisors: 1 11 89 121 979 1657 10769 18227 147473 200497 640667 1622203 7047337 17844233 57019363 77520707 627212993 1061585219 6899342923 11677437409 94481084491 128451811499 1039291929401 11432211223411