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42002014013 is a prime number
BaseRepresentation
bin100111000111100000…
…111101111100111101
311000102012012101102122
4213013200331330331
51142010003422023
631143452532325
73014564141231
oct470740757475
9130365171378
1042002014013
11168a4050883
1281824810a5
133c64a8353b
14206642c5c1
15115c6462c8
hex9c783df3d

42002014013 has 2 divisors, whose sum is σ = 42002014014. Its totient is φ = 42002014012.

The previous prime is 42002014001. The next prime is 42002014063. The reversal of 42002014013 is 31041020024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41954099929 + 47914084 = 204827^2 + 6922^2 .

It is a cyclic number.

It is not a de Polignac number, because 42002014013 - 210 = 42002012989 is a prime.

It is a super-2 number, since 2×420020140132 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42002013982 and 42002014000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42002014063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21001007006 + 21001007007.

It is an arithmetic number, because the mean of its divisors is an integer number (21001007007).

Almost surely, 242002014013 is an apocalyptic number.

It is an amenable number.

42002014013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42002014013 is an equidigital number, since it uses as much as digits as its factorization.

42002014013 is an evil number, because the sum of its binary digits is even.

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

Adding to 42002014013 its reverse (31041020024), we get a palindrome (73043034037).

The spelling of 42002014013 in words is "forty-two billion, two million, fourteen thousand, thirteen".