Search a number
-
+
111040410401 = 2937103485937
BaseRepresentation
bin110011101101010000…
…1100011001100100001
3101121121121010022010122
41213122201203030201
53304402321113101
6123002233210025
711010453625634
oct1473241431441
9347547108118
10111040410401
1143101464918
121962b260915
13a617c1566b
14553544dc1b
152d4d60c51b
hex19da863321

111040410401 has 8 divisors (see below), whose sum is σ = 117973969320. Its totient is φ = 104313823488.

The previous prime is 111040410391. The next prime is 111040410409. The reversal of 111040410401 is 104014040111.

It can be written as a sum of positive squares in 4 ways, for example, as 40401402001 + 70639008400 = 201001^2 + 265780^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111040410401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111040410401.

It is not an unprimeable number, because it can be changed into a prime (111040410409) 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 7 ways as a sum of consecutive naturals, for example, 51741896 + ... + 51744041.

It is an arithmetic number, because the mean of its divisors is an integer number (14746746165).

Almost surely, 2111040410401 is an apocalyptic number.

It is an amenable number.

111040410401 is a deficient number, since it is larger than the sum of its proper divisors (6933558919).

111040410401 is a wasteful number, since it uses less digits than its factorization.

111040410401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103486003.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 111040410401 its reverse (104014040111), we get a palindrome (215054450512).

The spelling of 111040410401 in words is "one hundred eleven billion, forty million, four hundred ten thousand, four hundred one".

Divisors: 1 29 37 1073 103485937 3001092173 3828979669 111040410401