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198135013 = 436797709
BaseRepresentation
bin10111100111101…
…00110011100101
3111210211022010211
423303310303211
5401210310023
631354415421
74624056046
oct1363646345
9453738124
10198135013
11a192984a
1256431571
133208346b
141c4588cd
15125dba0d
hexbcf4ce5

198135013 has 16 divisors (see below), whose sum is σ = 208183360. Its totient is φ = 188407296.

The previous prime is 198134987. The next prime is 198135019. The reversal of 198135013 is 310531891.

It is a cyclic number.

It is not a de Polignac number, because 198135013 - 221 = 196037861 is a prime.

It is a super-3 number, since 3×1981350133 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198135019) 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, 279103 + ... + 279811.

It is an arithmetic number, because the mean of its divisors is an integer number (13011460).

Almost surely, 2198135013 is an apocalyptic number.

It is an amenable number.

198135013 is a deficient number, since it is larger than the sum of its proper divisors (10048347).

198135013 is an equidigital number, since it uses as much as digits as its factorization.

198135013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 198135013 is about 14076.0439399712. The cubic root of 198135013 is about 582.9801163601.

The spelling of 198135013 in words is "one hundred ninety-eight million, one hundred thirty-five thousand, thirteen".

Divisors: 1 43 67 97 709 2881 4171 6499 30487 47503 68773 279457 2042629 2957239 4607791 198135013