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11144311431 = 311532120223
BaseRepresentation
bin10100110000100000…
…01011001010000111
31001202122222200022020
422120100023022013
5140310420431211
65041501134223
7543111040611
oct123020131207
931678880266
1011144311431
1147a9745140
1221b025a373
131087ab4226
1477a117db1
15453598306
hex29840b287

11144311431 has 24 divisors (see below), whose sum is σ = 16521662976. Its totient is φ = 6626636640.

The previous prime is 11144311421. The next prime is 11144311439. The reversal of 11144311431 is 13411344111.

It is not a de Polignac number, because 11144311431 - 211 = 11144309383 is a prime.

It is a super-2 number, since 2×111443114312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144311439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32586 + ... + 152808.

It is an arithmetic number, because the mean of its divisors is an integer number (688402624).

Almost surely, 211144311431 is an apocalyptic number.

11144311431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11144311431 is a deficient number, since it is larger than the sum of its proper divisors (5377351545).

11144311431 is a wasteful number, since it uses less digits than its factorization.

11144311431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120343 (or 120290 counting only the distinct ones).

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

Adding to 11144311431 its reverse (13411344111), we get a palindrome (24555655542).

The spelling of 11144311431 in words is "eleven billion, one hundred forty-four million, three hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 11 33 53 159 583 1749 2809 8427 30899 92697 120223 360669 1322453 3967359 6371819 19115457 70090009 210270027 337706407 1013119221 3714770477 11144311431