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312242061666301 = 131943912772254961
BaseRepresentation
bin100011011111110111000010…
…1001010110110011111111101
31111221120001100010202102010121
41012333232011022312133331
5311411233220241310201
63024030004535534541
7122524513236636244
oct10677560512663775
91457501303672117
10312242061666301
1190543129749a08
122b02a72a82a451
131052c3b93519c0
14571684c81195b
1526171ec6ce9a1
hex11bfb852b67fd

312242061666301 has 32 divisors (see below), whose sum is σ = 355042864915200. Its totient is φ = 272218338247680.

The previous prime is 312242061666173. The next prime is 312242061666313. The reversal of 312242061666301 is 103666160242213.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 312242061666301 - 27 = 312242061666173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312242061666331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137341461 + ... + 139596421.

It is an arithmetic number, because the mean of its divisors is an integer number (11095089528600).

Almost surely, 2312242061666301 is an apocalyptic number.

It is an amenable number.

312242061666301 is a deficient number, since it is larger than the sum of its proper divisors (42800803248899).

312242061666301 is a wasteful number, since it uses less digits than its factorization.

312242061666301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256709.

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 312242061666301 in words is "three hundred twelve trillion, two hundred forty-two billion, sixty-one million, six hundred sixty-six thousand, three hundred one".

Divisors: 1 13 19 247 439 1277 5707 8341 16601 24263 108433 315419 560603 2254961 7287839 10651457 29314493 42844259 138468941 556975367 989927879 2879585197 12869062427 18808629701 37434607561 54712118743 244512186113 711257543659 1264137901483 16433792719279 24018620128177 312242061666301