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10540340205 = 351973566951
BaseRepresentation
bin10011101000100000…
…01101001111101101
31000012120111202112120
421310100031033231
5133041311341310
64501524023153
7522125261553
oct116420151755
930176452476
1010540340205
11451982466a
122061b31ab9
13cbc927bc5
1471dc19bd3
1541a543b70
hex27440d3ed

10540340205 has 16 divisors (see below), whose sum is σ = 16950155904. Its totient is φ = 5592977600.

The previous prime is 10540340201. The next prime is 10540340219. The reversal of 10540340205 is 50204304501.

10540340205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10540340205 - 22 = 10540340201 is a prime.

It is a super-2 number, since 2×105403402052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540340201) 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, 1780521 + ... + 1786430.

It is an arithmetic number, because the mean of its divisors is an integer number (1059384744).

Almost surely, 210540340205 is an apocalyptic number.

10540340205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10540340205 is a deficient number, since it is larger than the sum of its proper divisors (6409815699).

10540340205 is a wasteful number, since it uses less digits than its factorization.

10540340205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567156.

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 10540340205 its reverse (50204304501), we get a palindrome (60744644706).

The spelling of 10540340205 in words is "ten billion, five hundred forty million, three hundred forty thousand, two hundred five".

Divisors: 1 3 5 15 197 591 985 2955 3566951 10700853 17834755 53504265 702689347 2108068041 3513446735 10540340205