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312242144103 = 3267517814501
BaseRepresentation
bin1001000101100110001…
…01010000001101100111
31002211221200200101100200
410202303011100031213
520103432442102403
6355235252441543
731362436301511
oct4426305201547
91084850611320
10312242144103
1111046a60636a
12506213192b3
13235a11b5166
1411180d92bb1
1581c7310ca3
hex48b3150367

312242144103 has 12 divisors (see below), whose sum is σ = 457748019768. Its totient is φ = 205054542000.

The previous prime is 312242144063. The next prime is 312242144113. The reversal of 312242144103 is 301441242213.

312242144103 is a `hidden beast` number, since 3 + 1 + 2 + 242 + 1 + 4 + 410 + 3 = 666.

It is not a de Polignac number, because 312242144103 - 220 = 312241095527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312242144113) 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, 258906648 + ... + 258907853.

It is an arithmetic number, because the mean of its divisors is an integer number (38145668314).

Almost surely, 2312242144103 is an apocalyptic number.

312242144103 is a deficient number, since it is larger than the sum of its proper divisors (145505875665).

312242144103 is a wasteful number, since it uses less digits than its factorization.

312242144103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517814574 (or 517814571 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312242144103 its reverse (301441242213), we get a palindrome (613683386316).

The spelling of 312242144103 in words is "three hundred twelve billion, two hundred forty-two million, one hundred forty-four thousand, one hundred three".

Divisors: 1 3 9 67 201 603 517814501 1553443503 4660330509 34693571567 104080714701 312242144103