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312131341041401 = 74712773517211241
BaseRepresentation
bin100011011111000011011110…
…1101101001011111011111001
31111221011110112211100220020102
41012332012331231023323321
5311402424441301311101
63023503054124405145
7122513513415103460
oct10676067555137371
91457143484326212
10312131341041401
1190500181852732
122b01118a6a67b5
1310521b22773a3b
145711347a459d7
1526143bc1dd86b
hex11be1bdb4bef9

312131341041401 has 32 divisors (see below), whose sum is σ = 364702032755712. Its totient is φ = 261568102371840.

The previous prime is 312131341041367. The next prime is 312131341041419. The reversal of 312131341041401 is 104140143131213.

It is a cyclic number.

It is not a de Polignac number, because 312131341041401 - 238 = 311856463134457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312131341041301) 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, 1477502141 + ... + 1477713381.

It is an arithmetic number, because the mean of its divisors is an integer number (11396938523616).

Almost surely, 2312131341041401 is an apocalyptic number.

It is an amenable number.

312131341041401 is a deficient number, since it is larger than the sum of its proper divisors (52570691714311).

312131341041401 is a wasteful number, since it uses less digits than its factorization.

312131341041401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216089.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 312131341041401 its reverse (104140143131213), we get a palindrome (416271484172614).

The spelling of 312131341041401 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred forty-one million, forty-one thousand, four hundred one".

Divisors: 1 7 47 329 1277 3517 8939 24619 60019 165299 211241 420133 1157093 1478687 4491209 9928327 31438463 69498289 211086823 269754757 742934597 1477607761 1888283299 5200542179 12678473579 34917926059 88749315053 244425482413 948727480369 6641092362583 44590191577343 312131341041401