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10540111 = 127149557
BaseRepresentation
bin101000001101…
…010001001111
3201211111022111
4220031101033
510144240421
61013524451
7155406121
oct50152117
921744274
1010540111
115a49a3a
123643727
13225066a
141585211
15dd2ee1
hexa0d44f

10540111 has 8 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 10368288.

The previous prime is 10540109. The next prime is 10540121. The reversal of 10540111 is 11104501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10540111 - 21 = 10540109 is a prime.

It is a super-2 number, since 2×105401112 = 222187879784642, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10540091 and 10540100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18645 + ... + 19201.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 210540111 is an apocalyptic number.

10540111 is a deficient number, since it is larger than the sum of its proper divisors (173489).

10540111 is a wasteful number, since it uses less digits than its factorization.

10540111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833.

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 10540111 is about 3246.5537112452. The cubic root of 10540111 is about 219.2544390224.

Adding to 10540111 its reverse (11104501), we get a palindrome (21644612).

The spelling of 10540111 in words is "ten million, five hundred forty thousand, one hundred eleven".

Divisors: 1 127 149 557 18923 70739 82993 10540111