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114042001 = 172616469
BaseRepresentation
bin1101100110000…
…10010010010001
321221120221012211
412303002102101
5213143321001
615152152121
72553224653
oct663022221
9257527184
10114042001
1159412497
1232238641
131a81c098
14112086d3
15a02a351
hex6cc2491

114042001 has 12 divisors (see below), whose sum is σ = 123149980. Its totient is φ = 105557760.

The previous prime is 114041953. The next prime is 114042011. The reversal of 114042001 is 100240411.

It can be written as a sum of positive squares in 6 ways, for example, as 9000000 + 105042001 = 3000^2 + 10249^2 .

It is not a de Polignac number, because 114042001 - 219 = 113517713 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114042011) 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 11 ways as a sum of consecutive naturals, for example, 14395 + ... + 20863.

Almost surely, 2114042001 is an apocalyptic number.

It is an amenable number.

114042001 is a deficient number, since it is larger than the sum of its proper divisors (9107979).

114042001 is an equidigital number, since it uses as much as digits as its factorization.

114042001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 114042001 is about 10679.0449479342. The cubic root of 114042001 is about 484.9402994500.

Adding to 114042001 its reverse (100240411), we get a palindrome (214282412).

The spelling of 114042001 in words is "one hundred fourteen million, forty-two thousand, one".

Divisors: 1 17 61 289 1037 6469 17629 109973 394609 1869541 6708353 114042001