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4142021013 = 321335401889
BaseRepresentation
bin1111011011100010…
…0011100110010101
3101200122221110122200
43312320203212111
531440324133023
61523001515113
7204433412004
oct36670434625
911618843580
104142021013
111836076769
129771a2a99
13510188910
142b4162c3b
1519397a743
hexf6e23995

4142021013 has 12 divisors (see below), whose sum is σ = 6443143980. Its totient is φ = 2548935936.

The previous prime is 4142020999. The next prime is 4142021027. The reversal of 4142021013 is 3101202414.

It is an interprime number because it is at equal distance from previous prime (4142020999) and next prime (4142021027).

It can be written as a sum of positive squares in 2 ways, for example, as 494706564 + 3647314449 = 22242^2 + 60393^2 .

It is not a de Polignac number, because 4142021013 - 24 = 4142020997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142021063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17700828 + ... + 17701061.

It is an arithmetic number, because the mean of its divisors is an integer number (536928665).

Almost surely, 24142021013 is an apocalyptic number.

It is an amenable number.

4142021013 is a deficient number, since it is larger than the sum of its proper divisors (2301122967).

4142021013 is a wasteful number, since it uses less digits than its factorization.

4142021013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35401908 (or 35401905 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4142021013 is about 64358.5348885445. The cubic root of 4142021013 is about 1605.9700160136.

Adding to 4142021013 its reverse (3101202414), we get a palindrome (7243223427).

The spelling of 4142021013 in words is "four billion, one hundred forty-two million, twenty-one thousand, thirteen".

Divisors: 1 3 9 13 39 117 35401889 106205667 318617001 460224557 1380673671 4142021013