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131011434502305 = 35721511180442713
BaseRepresentation
bin11101110010011101111010…
…000000111101100010100001
3122011212120102010110121121020
4131302131322000331202201
5114132442404213033210
61142345453325320053
736411156323135100
oct3562357200754241
9564776363417536
10131011434502305
1138820701351a25
121283aa88406029
13581442c7aa006
14244cdb709c037
151022d94aca770
hex77277a03d8a1

131011434502305 has 48 divisors (see below), whose sum is σ = 245456536178304. Its totient is φ = 59494312684800.

The previous prime is 131011434502271. The next prime is 131011434502327. The reversal of 131011434502305 is 503205434110131.

131011434502305 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 131011434502305 - 212 = 131011434498209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590110372 + ... + 590332341.

It is an arithmetic number, because the mean of its divisors is an integer number (5113677837048).

Almost surely, 2131011434502305 is an apocalyptic number.

131011434502305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131011434502305 is a deficient number, since it is larger than the sum of its proper divisors (114445101675999).

131011434502305 is a wasteful number, since it uses less digits than its factorization.

131011434502305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180442886 (or 1180442879 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 131011434502305 its reverse (503205434110131), we get a palindrome (634216868612436).

The spelling of 131011434502305 in words is "one hundred thirty-one trillion, eleven billion, four hundred thirty-four million, five hundred two thousand, three hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 151 245 453 735 755 1057 2265 3171 5285 7399 15855 22197 36995 110985 1180442713 3541328139 5902213565 8263098991 17706640695 24789296973 41315494955 57841692937 123946484865 173525078811 178246849663 289208464685 534740548989 867625394055 891234248315 1247727947641 2673702744945 3743183842923 6238639738205 8734095633487 18715919214615 26202286900461 43670478167435 131011434502305