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2420401013 = 19898831621
BaseRepresentation
bin1001000001000100…
…0110001101110101
320020200102002222222
42100101012031311
514424110313023
61040101332125
7113660032502
oct22021061565
96220362888
102420401013
111032287118
12576707045
132c75ac764
1418d6504a9
15e2755cc8
hex90446375

2420401013 has 16 divisors (see below), whose sum is σ = 2580926400. Its totient is φ = 2263282560.

The previous prime is 2420401003. The next prime is 2420401033. The reversal of 2420401013 is 3101040242.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2420401013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2420400982 and 2420401000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420401003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492343 + ... + 1493963.

It is an arithmetic number, because the mean of its divisors is an integer number (161307900).

Almost surely, 22420401013 is an apocalyptic number.

It is an amenable number.

2420401013 is a deficient number, since it is larger than the sum of its proper divisors (160525387).

2420401013 is a wasteful number, since it uses less digits than its factorization.

2420401013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2420401013 is about 49197.5712103758. The cubic root of 2420401013 is about 1342.6488432104.

Adding to 2420401013 its reverse (3101040242), we get a palindrome (5521441255).

The spelling of 2420401013 in words is "two billion, four hundred twenty million, four hundred one thousand, thirteen".

Divisors: 1 19 89 883 1621 1691 16777 30799 78587 144269 1431343 1493153 2741111 27195517 127389527 2420401013