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114023320313 = 7231412118677
BaseRepresentation
bin110101000110001010…
…0011100101011111001
3101220022110222211021112
41222030110130223321
53332004432222223
6124214231250105
711144414142200
oct1521424345371
9356273884245
10114023320313
11443a2212221
121a122219935
13a9a1bc5106
145739688237
152e75427778
hex1a8c51caf9

114023320313 has 48 divisors (see below), whose sum is σ = 140938495488. Its totient is φ = 91826784000.

The previous prime is 114023320309. The next prime is 114023320361. The reversal of 114023320313 is 313023320411.

It is not a de Polignac number, because 114023320313 - 22 = 114023320309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114023320373) 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 47 ways as a sum of consecutive naturals, for example, 13136531 + ... + 13145207.

It is an arithmetic number, because the mean of its divisors is an integer number (2936218656).

Almost surely, 2114023320313 is an apocalyptic number.

It is an amenable number.

114023320313 is a deficient number, since it is larger than the sum of its proper divisors (26915175175).

114023320313 is a wasteful number, since it uses less digits than its factorization.

114023320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974 (or 8967 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 114023320313 its reverse (313023320411), we get a palindrome (427046640724).

The spelling of 114023320313 in words is "one hundred fourteen billion, twenty-three million, three hundred twenty thousand, three hundred thirteen".

Divisors: 1 7 31 41 49 211 217 287 1271 1477 1519 2009 6541 8651 8677 8897 10339 45787 60557 60739 62279 268181 268987 320509 355757 423899 425173 1830847 1877267 1882909 2490299 11028467 12815929 13140869 13180363 17432093 56756257 75064727 77199269 89711503 397293799 525453089 540394883 2327006537 2781056593 3678171623 16289045759 114023320313