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412131200041 = 11614671315213
BaseRepresentation
bin1011111111101001110…
…11110000110000101001
31110101210010120011222001
411333310323300300221
523223021041400131
6513155213531001
741526665254111
oct5776473606051
91411703504861
10412131200041
11149869355560
1267a59aa3a61
132cb2ca1b912
1415d393b4041
15aac1933261
hex5ff4ef0c29

412131200041 has 16 divisors (see below), whose sum is σ = 457946993088. Its totient is φ = 367733275200.

The previous prime is 412131200027. The next prime is 412131200053. The reversal of 412131200041 is 140002131214.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-412131200041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412131199991 and 412131200018.

It is not an unprimeable number, because it can be changed into a prime (412131210041) 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, 344250 + ... + 970963.

It is an arithmetic number, because the mean of its divisors is an integer number (28621687068).

Almost surely, 2412131200041 is an apocalyptic number.

It is an amenable number.

412131200041 is a deficient number, since it is larger than the sum of its proper divisors (45815793047).

412131200041 is a wasteful number, since it uses less digits than its factorization.

412131200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315752.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 412131200041 its reverse (140002131214), we get a palindrome (552133331255).

The spelling of 412131200041 in words is "four hundred twelve billion, one hundred thirty-one million, two hundred thousand, forty-one".

Divisors: 1 11 61 467 671 5137 28487 313357 1315213 14467343 80227993 614204471 882507923 6756249181 37466472731 412131200041