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114112766223 = 36433640309
BaseRepresentation
bin110101001000110100…
…1101010000100001111
3101220112201022011000000
41222101221222010033
53332200332004343
6124231144335343
711146551336351
oct1522151520417
9356481264000
10114112766223
1144438755265
121a148174553
13a9b75b1aa1
1457474cd0d1
152e7d1e4ed3
hex1a91a6a10f

114112766223 has 28 divisors (see below), whose sum is σ = 175069788520. Its totient is φ = 74305966896.

The previous prime is 114112766221. The next prime is 114112766231. The reversal of 114112766223 is 322667211411.

114112766223 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 27 + 6 + 622 + 3 = 666.

It is not a de Polignac number, because 114112766223 - 21 = 114112766221 is a prime.

It is a super-3 number, since 3×1141127662233 (a number of 34 digits) contains 333 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 (114112766221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1788808 + ... + 1851501.

Almost surely, 2114112766223 is an apocalyptic number.

114112766223 is a deficient number, since it is larger than the sum of its proper divisors (60957022297).

114112766223 is an frugal number, since it uses more digits than its factorization.

114112766223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640370 (or 3640355 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

Adding to 114112766223 its reverse (322667211411), we get a palindrome (436779977634).

The spelling of 114112766223 in words is "one hundred fourteen billion, one hundred twelve million, seven hundred sixty-six thousand, two hundred twenty-three".

Divisors: 1 3 9 27 43 81 129 243 387 729 1161 3483 10449 31347 3640309 10920927 32762781 98288343 156533287 294865029 469599861 884595087 1408799583 2653785261 4226398749 12679196247 38037588741 114112766223