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114027520103 = 72471271971979
BaseRepresentation
bin110101000110010010…
…0011110000001100111
3101220022202220012022022
41222030210132001213
53332012021120403
6124214501253355
711144464633400
oct1521444360147
9356282805268
10114027520103
11443a4620622
121a12370425b
13a9a2a358b3
14573a05c9a7
152e759a6d38
hex1a8c91e067

114027520103 has 48 divisors (see below), whose sum is σ = 137295544320. Its totient is φ = 94375665216.

The previous prime is 114027520091. The next prime is 114027520169. The reversal of 114027520103 is 301025720411.

It is a de Polignac number, because none of the positive numbers 2k-114027520103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114027529103) 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 47 ways as a sum of consecutive naturals, for example, 57617768 + ... + 57619746.

It is an arithmetic number, because the mean of its divisors is an integer number (2860323840).

Almost surely, 2114027520103 is an apocalyptic number.

114027520103 is a deficient number, since it is larger than the sum of its proper divisors (23268024217).

114027520103 is a wasteful number, since it uses less digits than its factorization.

114027520103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 114027520103 in words is "one hundred fourteen billion, twenty-seven million, five hundred twenty thousand, one hundred three".

Divisors: 1 7 47 49 127 197 329 889 1379 1979 2303 5969 6223 9259 9653 13853 25019 41783 64813 93013 96971 175133 251333 292481 389863 453691 651091 1175893 1225931 1759331 2729041 4557637 8231251 11812651 12315317 18323561 19103287 49512601 57618757 82688557 128264927 346588207 578819899 897854489 2327092247 2426117449 16289645729 114027520103