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42101334314141 = 232687844380687
BaseRepresentation
bin10011001001010011110110…
…00100111000110010011101
312112001211220101011101102112
421210221323010320302131
521004242013041023031
6225313030323203405
711603502212025014
oct1144517304706235
9175054811141375
1042101334314141
1112462091705a13
12487b62b816565
131a651a5bcc05b
14a57a032bda7b
154d024415162b
hex264a7b138c9d

42101334314141 has 16 divisors (see below), whose sum is σ = 43953926897664. Its totient is φ = 40250587419504.

The previous prime is 42101334314113. The next prime is 42101334314147. The reversal of 42101334314141 is 14141343310124.

It is a happy number.

42101334314141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42101334314141 - 222 = 42101330119837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42101334314098 and 42101334314107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42101334314147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521745500 + ... + 521826186.

It is an arithmetic number, because the mean of its divisors is an integer number (2747120431104).

Almost surely, 242101334314141 is an apocalyptic number.

It is an amenable number.

42101334314141 is a deficient number, since it is larger than the sum of its proper divisors (1852592583523).

42101334314141 is a wasteful number, since it uses less digits than its factorization.

42101334314141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91840.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 42101334314141 its reverse (14141343310124), we get a palindrome (56242677624265).

The spelling of 42101334314141 in words is "forty-two trillion, one hundred one billion, three hundred thirty-four million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 23 2687 8443 61801 80687 194189 1855801 22686341 216805969 521785843 681240341 4986537287 15668527843 1830492796267 42101334314141