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1000042511 = 131014331759
BaseRepresentation
bin111011100110110…
…111000000001111
32120200202102102112
4323212313000033
54022002330021
6243122214235
733532135556
oct7346670017
92520672375
101000042511
11473552816
1223aab437b
1312c253640
1496b5cd9d
155cbddd5b
hex3b9b700f

1000042511 has 16 divisors (see below), whose sum is σ = 1090763520. Its totient is φ = 911347200.

The previous prime is 1000042501. The next prime is 1000042513. The reversal of 1000042511 is 1152400001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000042511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000042513) 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 15 ways as a sum of consecutive naturals, for example, 567650 + ... + 569408.

It is an arithmetic number, because the mean of its divisors is an integer number (68172720).

Almost surely, 21000042511 is an apocalyptic number.

1000042511 is a deficient number, since it is larger than the sum of its proper divisors (90721009).

1000042511 is a wasteful number, since it uses less digits than its factorization.

1000042511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1000042511 is about 31623.4487524685. The cubic root of 1000042511 is about 1000.0141701325.

Adding to 1000042511 its reverse (1152400001), we get a palindrome (2152442512).

The spelling of 1000042511 in words is "one billion, forty-two thousand, five hundred eleven".

Divisors: 1 13 101 433 1313 1759 5629 22867 43733 177659 568529 761647 2309567 9901411 76926347 1000042511