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2412145001 = 72351713997
BaseRepresentation
bin1000111111000110…
…0110100101101001
320020002212122212202
42033301212211221
514420002120001
61035204345545
7113526615500
oct21761464551
96202778782
102412145001
111028658272
125739a52b5
132c597b946
1418c501837
15e1b7496b
hex8fc66969

2412145001 has 12 divisors (see below), whose sum is σ = 2806962948. Its totient is φ = 2066817312.

The previous prime is 2412144997. The next prime is 2412145007. The reversal of 2412145001 is 1005412142.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1856317225 + 555827776 = 43085^2 + 23576^2 .

It is not a de Polignac number, because 2412145001 - 22 = 2412144997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2412145007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165335 + ... + 179331.

It is an arithmetic number, because the mean of its divisors is an integer number (233913579).

Almost surely, 22412145001 is an apocalyptic number.

It is an amenable number.

2412145001 is a deficient number, since it is larger than the sum of its proper divisors (394817947).

2412145001 is a wasteful number, since it uses less digits than its factorization.

2412145001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17528 (or 17521 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2412145001 is about 49113.5928333491. The cubic root of 2412145001 is about 1341.1205079695.

Adding to 2412145001 its reverse (1005412142), we get a palindrome (3417557143).

The spelling of 2412145001 in words is "two billion, four hundred twelve million, one hundred forty-five thousand, one".

Divisors: 1 7 49 3517 13997 24619 97979 172333 685853 49227449 344592143 2412145001