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4123120041 = 321726948497
BaseRepresentation
bin1111010111000001…
…1101000110101001
3101122100101012101200
43311300131012221
531421004320131
61521044434413
7204113641065
oct36560350651
911570335350
104123120041
111826437127
129709a8a09
1350929b801
142b1842aa5
15191e952e6
hexf5c1d1a9

4123120041 has 12 divisors (see below), whose sum is σ = 6305948532. Its totient is φ = 2587055616.

The previous prime is 4123120033. The next prime is 4123120051. The reversal of 4123120041 is 1400213214.

It can be written as a sum of positive squares in 2 ways, for example, as 2007488025 + 2115632016 = 44805^2 + 45996^2 .

It is not a de Polignac number, because 4123120041 - 23 = 4123120033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4123119996 and 4123120023.

It is not an unprimeable number, because it can be changed into a prime (4123120021) 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 11 ways as a sum of consecutive naturals, for example, 13474096 + ... + 13474401.

It is an arithmetic number, because the mean of its divisors is an integer number (525495711).

Almost surely, 24123120041 is an apocalyptic number.

It is an amenable number.

4123120041 is a deficient number, since it is larger than the sum of its proper divisors (2182828491).

4123120041 is a wasteful number, since it uses less digits than its factorization.

4123120041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26948520 (or 26948517 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4123120041 is about 64211.5257644607. The cubic root of 4123120041 is about 1603.5234902779.

Adding to 4123120041 its reverse (1400213214), we get a palindrome (5523333255).

The spelling of 4123120041 in words is "four billion, one hundred twenty-three million, one hundred twenty thousand, forty-one".

Divisors: 1 3 9 17 51 153 26948497 80845491 242536473 458124449 1374373347 4123120041