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1004234013 = 32176563621
BaseRepresentation
bin111011110110110…
…110010100011101
32120222122101002100
4323312312110131
54024040442023
6243352115313
733612563646
oct7366662435
92528571070
101004234013
11475955972
12240395b39
13130090413
14975306cd
155d26ac43
hex3bdb651d

1004234013 has 12 divisors (see below), whose sum is σ = 1535887548. Its totient is φ = 630107520.

The previous prime is 1004234003. The next prime is 1004234029. The reversal of 1004234013 is 3104324001.

It can be written as a sum of positive squares in 2 ways, for example, as 931592484 + 72641529 = 30522^2 + 8523^2 .

It is not a de Polignac number, because 1004234013 - 26 = 1004233949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004234003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3281658 + ... + 3281963.

It is an arithmetic number, because the mean of its divisors is an integer number (127990629).

Almost surely, 21004234013 is an apocalyptic number.

It is an amenable number.

1004234013 is a deficient number, since it is larger than the sum of its proper divisors (531653535).

1004234013 is a wasteful number, since it uses less digits than its factorization.

1004234013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563644 (or 6563641 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1004234013 is about 31689.6515127573. The cubic root of 1004234013 is about 1001.4093504648.

Adding to 1004234013 its reverse (3104324001), we get a palindrome (4108558014).

The spelling of 1004234013 in words is "one billion, four million, two hundred thirty-four thousand, thirteen".

Divisors: 1 3 9 17 51 153 6563621 19690863 59072589 111581557 334744671 1004234013