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312342241200041 = 1367841814259891
BaseRepresentation
bin100011100000100101101100…
…0010101011100011110101001
31111221220121220211020000101002
41013001023120111130132221
5311414403402221400131
63024144013355004345
7122534660623631603
oct10701133025343651
91457817824200332
10312342241200041
11905816674593a8
122b0460287396b5
1310538993101010
14571b633648173
152619b1257e6cb
hex11c12d855c7a9

312342241200041 has 16 divisors (see below), whose sum is σ = 341393129383488. Its totient is φ = 284009251838400.

The previous prime is 312342241200037. The next prime is 312342241200043. The reversal of 312342241200041 is 140002142243213.

It is a cyclic number.

It is not a de Polignac number, because 312342241200041 - 22 = 312342241200037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312342241199977 and 312342241200013.

It is not an unprimeable number, because it can be changed into a prime (312342241200043) 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, 71191706 + ... + 75451596.

It is an arithmetic number, because the mean of its divisors is an integer number (21337070586468).

Almost surely, 2312342241200041 is an apocalyptic number.

It is an amenable number.

312342241200041 is a deficient number, since it is larger than the sum of its proper divisors (29050888183447).

312342241200041 is a wasteful number, since it uses less digits than its factorization.

312342241200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344152.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 312342241200041 its reverse (140002142243213), we get a palindrome (452344383443254).

The spelling of 312342241200041 in words is "three hundred twelve trillion, three hundred forty-two billion, two hundred forty-one million, two hundred thousand, forty-one".

Divisors: 1 13 67 871 84181 1094353 4259891 5640127 55378583 73321651 285412697 3710365061 358601884271 4661824495523 24026326246157 312342241200041