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1347117431 = 11314784053
BaseRepresentation
bin101000001001011…
…0110000101110111
310110212211122201012
41100102312011313
510224330224211
6341401222435
745245211032
oct12022660567
93425748635
101347117431
1163145a2a0
12317191a1b
1318612430a
14caca8019
157d3ead8b
hex504b6177

1347117431 has 16 divisors (see below), whose sum is σ = 1549283328. Its totient is φ = 1159917600.

The previous prime is 1347117379. The next prime is 1347117433.

1347117431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1347117431 is a prime.

It is a super-3 number, since 3×13471174313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1347117433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26000 + ... + 58053.

It is an arithmetic number, because the mean of its divisors is an integer number (96830208).

Almost surely, 21347117431 is an apocalyptic number.

1347117431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1347117431 is a deficient number, since it is larger than the sum of its proper divisors (202165897).

1347117431 is a wasteful number, since it uses less digits than its factorization.

1347117431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84142.

The product of its digits is 7056, while the sum is 32.

The square root of 1347117431 is about 36703.0983841964. The cubic root of 1347117431 is about 1104.4222612710.

The spelling of 1347117431 in words is "one billion, three hundred forty-seven million, one hundred seventeen thousand, four hundred thirty-one".

Divisors: 1 11 31 47 341 517 1457 16027 84053 924583 2605643 3950491 28662073 43455401 122465221 1347117431