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102305511231 = 37111313380771
BaseRepresentation
bin101111101000111100…
…0100011011100111111
3100210001211212110002120
41133101320203130333
53134010202324411
6114555402054023
710251140332410
oct1372170433477
9323054773076
10102305511231
113a429880890
12179b1aaa313
139855364281
144d47325807
1529db849106
hex17d1e2373f

102305511231 has 32 divisors (see below), whose sum is σ = 171364571136. Its totient is φ = 52740012000.

The previous prime is 102305511227. The next prime is 102305511257. The reversal of 102305511231 is 132115503201.

It is not a de Polignac number, because 102305511231 - 22 = 102305511227 is a prime.

It is a super-2 number, since 2×1023055112312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102305511281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1660125 + ... + 1720646.

It is an arithmetic number, because the mean of its divisors is an integer number (5355142848).

Almost surely, 2102305511231 is an apocalyptic number.

102305511231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102305511231 is a deficient number, since it is larger than the sum of its proper divisors (69059059905).

102305511231 is a wasteful number, since it uses less digits than its factorization.

102305511231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380923.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 102305511231 in words is "one hundred two billion, three hundred five million, five hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 131 231 393 917 1441 2751 4323 10087 30261 3380771 10142313 23665397 37188481 70996191 111565443 260319367 442881001 780958101 1328643003 3100167007 4871691011 9300501021 14615073033 34101837077 102305511231