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1020234013 = 19211812393
BaseRepresentation
bin111100110011111…
…000100100011101
32122002202020221221
4330303320210131
54042134442023
6245123053341
734165563121
oct7463704435
92562666857
101020234013
11483993a07
12245811251
131334a2c86
14996d7581
155e87b85d
hex3ccf891d

1020234013 has 12 divisors (see below), whose sum is σ = 1078118748. Its totient is φ = 965315520.

The previous prime is 1020234011. The next prime is 1020234031. The reversal of 1020234013 is 3104320201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 435223044 + 585010969 = 20862^2 + 24187^2 .

It is not a de Polignac number, because 1020234013 - 21 = 1020234011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020234011) 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, 425145 + ... + 427537.

It is an arithmetic number, because the mean of its divisors is an integer number (89843229).

Almost surely, 21020234013 is an apocalyptic number.

It is an amenable number.

1020234013 is a deficient number, since it is larger than the sum of its proper divisors (57884735).

1020234013 is a wasteful number, since it uses less digits than its factorization.

1020234013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1020234013 is about 31941.1022508617. The cubic root of 1020234013 is about 1006.6996849810.

Adding to 1020234013 its reverse (3104320201), we get a palindrome (4124554214).

The spelling of 1020234013 in words is "one billion, twenty million, two hundred thirty-four thousand, thirteen".

Divisors: 1 19 361 1181 2393 22439 45467 426341 863873 2826133 53696527 1020234013