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187148013 = 31310346589
BaseRepresentation
bin10110010011110…
…10011011101101
3111001011002210220
423021322123231
5340402214023
630323121553
74431506013
oct1311723355
9431132726
10187148013
1196705088
12528132b9
132ca07590
141abd88b3
151166b3e3
hexb27a6ed

187148013 has 16 divisors (see below), whose sum is σ = 271340160. Its totient is φ = 114047424.

The previous prime is 187148011. The next prime is 187148069. The reversal of 187148013 is 310841781.

It is not a de Polignac number, because 187148013 - 21 = 187148011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187148011) 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 15 ways as a sum of consecutive naturals, for example, 19278 + ... + 27311.

It is an arithmetic number, because the mean of its divisors is an integer number (16958760).

Almost surely, 2187148013 is an apocalyptic number.

187148013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

187148013 is a deficient number, since it is larger than the sum of its proper divisors (84192147).

187148013 is a wasteful number, since it uses less digits than its factorization.

187148013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46708.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 187148013 is about 13680.2051519705. The cubic root of 187148013 is about 571.9987417857.

Adding to 187148013 its reverse (310841781), we get a palindrome (497989794).

The spelling of 187148013 in words is "one hundred eighty-seven million, one hundred forty-eight thousand, thirteen".

Divisors: 1 3 13 39 103 309 1339 4017 46589 139767 605657 1816971 4798667 14396001 62382671 187148013