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13127185134 = 23573858667
BaseRepresentation
bin11000011100111000…
…01111001011101110
31020212212010002200000
430032130033023232
5203341024411014
610010333045130
7643206142530
oct141634171356
936785102600
1013127185134
115626a54538
1226643267a6
13131284318b
148c75d5850
1551c6c6509
hex30e70f2ee

13127185134 has 48 divisors (see below), whose sum is σ = 33709323648. Its totient is φ = 3750623352.

The previous prime is 13127185121. The next prime is 13127185187. The reversal of 13127185134 is 43158172131.

13127185134 is a `hidden beast` number, since 1 + 3 + 127 + 18 + 513 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1925932 + ... + 1932735.

It is an arithmetic number, because the mean of its divisors is an integer number (702277576).

Almost surely, 213127185134 is an apocalyptic number.

13127185134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13127185134 is an abundant number, since it is smaller than the sum of its proper divisors (20582138514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13127185134 is an equidigital number, since it uses as much as digits as its factorization.

13127185134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858691 (or 3858679 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 13127185134 in words is "thirteen billion, one hundred twenty-seven million, one hundred eighty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 3858667 7717334 11576001 23152002 27010669 34728003 54021338 69456006 81032007 104184009 162064014 208368018 243096021 312552027 486192042 625104054 729288063 937656081 1458576126 1875312162 2187864189 4375728378 6563592567 13127185134