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10414120340131 = 191951280938799
BaseRepresentation
bin1001011110001011100111…
…1100011000101010100011
31100212120122221201020000121
42113202321330120222203
52331111104301341011
634052103021101111
72123252416222564
oct227427174305243
940776587636017
1010414120340131
113355670488a02
1212023ab9b7797
135a707ccbb3c1
1428009077216b
15130d662e0e71
hex978b9f18aa3

10414120340131 has 8 divisors (see below), whose sum is σ = 10967850752000. Its totient is φ = 9860951809800.

The previous prime is 10414120340119. The next prime is 10414120340149. The reversal of 10414120340131 is 13104302141401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10414120340131 - 219 = 10414119815843 is a prime.

It is a super-2 number, since 2×104141203401312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10414120340096 and 10414120340105.

It is not an unprimeable number, because it can be changed into a prime (10414120340191) 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 7 ways as a sum of consecutive naturals, for example, 140432331 + ... + 140506468.

It is an arithmetic number, because the mean of its divisors is an integer number (1370981344000).

Almost surely, 210414120340131 is an apocalyptic number.

10414120340131 is a deficient number, since it is larger than the sum of its proper divisors (553730411869).

10414120340131 is a wasteful number, since it uses less digits than its factorization.

10414120340131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280940769.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10414120340131 its reverse (13104302141401), we get a palindrome (23518422481532).

The spelling of 10414120340131 in words is "ten trillion, four hundred fourteen billion, one hundred twenty million, three hundred forty thousand, one hundred thirty-one".

Divisors: 1 19 1951 37069 280938799 5337837181 548111596849 10414120340131