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4131135041 = 112322932423
BaseRepresentation
bin1111011000111100…
…0001111001000001
3101122220110101220112
43312033001321001
531430032310131
61521532321105
7204242032325
oct36617017101
911586411815
104131135041
11182aa109a0
12973613195
1350ab46a07
142b292b985
15192a2a02b
hexf63c1e41

4131135041 has 24 divisors (see below), whose sum is σ = 4729185216. Its totient is φ = 3578553440.

The previous prime is 4131135007. The next prime is 4131135049. The reversal of 4131135041 is 1405311314.

It is a happy number.

4131135041 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 4131135041 - 214 = 4131118657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4131134998 and 4131135016.

It is not an unprimeable number, because it can be changed into a prime (4131135049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1703756 + ... + 1706178.

It is an arithmetic number, because the mean of its divisors is an integer number (197049384).

Almost surely, 24131135041 is an apocalyptic number.

It is an amenable number.

4131135041 is a deficient number, since it is larger than the sum of its proper divisors (598050175).

4131135041 is a wasteful number, since it uses less digits than its factorization.

4131135041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 4131135041 is about 64273.9063773161. The cubic root of 4131135041 is about 1604.5618561865.

Adding to 4131135041 its reverse (1405311314), we get a palindrome (5536446355).

The spelling of 4131135041 in words is "four billion, one hundred thirty-one million, one hundred thirty-five thousand, forty-one".

Divisors: 1 11 23 253 293 529 2423 3223 5819 6739 26653 55729 74129 154997 613019 709939 1281767 1704967 7809329 14099437 16328597 179614567 375557731 4131135041