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1050440013 = 32717980803
BaseRepresentation
bin111110100111000…
…111000101001101
32201012120212210200
4332213013011031
54122403040023
6252122324113
735013410220
oct7647070515
92635525720
101050440013
11499a45147
12253959639
1313981a94c
149d71b5b7
1562346743
hex3e9c714d

1050440013 has 24 divisors (see below), whose sum is σ = 1836065088. Its totient is φ = 564941952.

The previous prime is 1050439981. The next prime is 1050440021. The reversal of 1050440013 is 3100440501.

It is a happy number.

It is not a de Polignac number, because 1050440013 - 25 = 1050439981 is a prime.

It is a super-2 number, since 2×10504400132 = 2206848441822880338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050448013) 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 23 ways as a sum of consecutive naturals, for example, 489331 + ... + 491472.

It is an arithmetic number, because the mean of its divisors is an integer number (76502712).

Almost surely, 21050440013 is an apocalyptic number.

It is an amenable number.

1050440013 is a deficient number, since it is larger than the sum of its proper divisors (785625075).

1050440013 is a wasteful number, since it uses less digits than its factorization.

1050440013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980833 (or 980830 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1050440013 is about 32410.4923288740. The cubic root of 1050440013 is about 1016.5383140063.

Adding to 1050440013 its reverse (3100440501), we get a palindrome (4150880514).

The spelling of 1050440013 in words is "one billion, fifty million, four hundred forty thousand, thirteen".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 980803 2942409 6865621 8827227 16673651 20596863 50020953 61790589 116715557 150062859 350146671 1050440013