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312106030249 = 13196047208961
BaseRepresentation
bin1001000101010101111…
…10000001010010101001
31002211121012120002020211
410202222332001102221
520103143120431444
6355213551221121
731356164325226
oct4425276012251
91084535502224
10312106030249
111103aa798a82
12505a38177a1
132357bc38910
141116ac8094d
1581ba3c5c34
hex48aaf814a9

312106030249 has 16 divisors (see below), whose sum is σ = 353864609280. Its totient is φ = 272888386560.

The previous prime is 312106030231. The next prime is 312106030261. The reversal of 312106030249 is 942030601213.

It is a cyclic number.

It is not a de Polignac number, because 312106030249 - 25 = 312106030217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312106030249.

It is not an unprimeable number, because it can be changed into a prime (312106030279) 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 15 ways as a sum of consecutive naturals, for example, 1389129 + ... + 1598089.

It is an arithmetic number, because the mean of its divisors is an integer number (22116538080).

Almost surely, 2312106030249 is an apocalyptic number.

It is an amenable number.

312106030249 is a deficient number, since it is larger than the sum of its proper divisors (41758579031).

312106030249 is a wasteful number, since it uses less digits than its factorization.

312106030249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215040.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 312106030249 in words is "three hundred twelve billion, one hundred six million, thirty thousand, two hundred forty-nine".

Divisors: 1 13 19 247 6047 78611 114893 208961 1493609 2716493 3970259 51613367 1263587167 16426633171 24008156173 312106030249