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114023320411 = 72112131479343
BaseRepresentation
bin110101000110001010…
…0011100101101011011
3101220022110222211102011
41222030110130231123
53332004432223121
6124214231250351
711144414142400
oct1521424345533
9356273884364
10114023320411
11443a2212300
121a1222199b7
13a9a1bc5180
1457396882a7
152e754277e1
hex1a8c51cb5b

114023320411 has 36 divisors (see below), whose sum is σ = 157008696096. Its totient is φ = 82014720480.

The previous prime is 114023320379. The next prime is 114023320417.

114023320411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114023320411 - 25 = 114023320379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114023320417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662595 + ... + 816748.

Almost surely, 2114023320411 is an apocalyptic number.

114023320411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114023320411 is a deficient number, since it is larger than the sum of its proper divisors (42985375685).

114023320411 is a wasteful number, since it uses less digits than its factorization.

114023320411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479392 (or 1479374 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 114023 and 320411, that added together give a palindrome (434434).

The spelling of 114023320411 in words is "one hundred fourteen billion, twenty-three million, three hundred twenty thousand, four hundred eleven".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 5929 7007 11011 77077 1479343 10355401 16272773 19231459 72487807 113909411 134620213 179000503 211546049 797365877 942341491 1253003521 1480822343 2327006539 8771024647 10365756401 16289045773 114023320411