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1047010041 = 327116412357
BaseRepresentation
bin111110011010000…
…001101011111001
32200222010121202200
4332122001223321
54121013310131
6251521020413
734642303260
oct7632015371
92628117680
101047010041
11498012160
12252784709
13138bb968c
149d0a75d7
1561dba2e6
hex3e681af9

1047010041 has 48 divisors (see below), whose sum is σ = 1889267328. Its totient is φ = 542822400.

The previous prime is 1047010001. The next prime is 1047010049. The reversal of 1047010041 is 1400107401.

It is not a de Polignac number, because 1047010041 - 211 = 1047007993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1047009996 and 1047010023.

It is not an unprimeable number, because it can be changed into a prime (1047010049) 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 47 ways as a sum of consecutive naturals, for example, 443035 + ... + 445391.

It is an arithmetic number, because the mean of its divisors is an integer number (39359736).

Almost surely, 21047010041 is an apocalyptic number.

1047010041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1047010041 is a deficient number, since it is larger than the sum of its proper divisors (842257287).

1047010041 is a wasteful number, since it uses less digits than its factorization.

1047010041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1047010041 is about 32357.5345321611. The cubic root of 1047010041 is about 1015.4306829769.

Adding to 1047010041 its reverse (1400107401), we get a palindrome (2447117442).

The spelling of 1047010041 in words is "one billion, forty-seven million, ten thousand, forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 641 693 1923 2357 4487 5769 7051 7071 13461 16499 21153 21213 25927 40383 49357 49497 63459 77781 148071 148491 181489 233343 444213 544467 1510837 1633401 4532511 10575859 13597533 16619207 31727577 49857621 95182731 116334449 149572863 349003347 1047010041