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312141420232311 = 3237110126245989
BaseRepresentation
bin100011011111001000001011…
…0011110001111111001110111
31111221012102120021010211212110
41012332100112132033321313
5311403111112034413221
63023511442220422103
7122514321243601635
oct10676202636177167
91457172507124773
10312141420232311
1190504484235a7a
122b0131220a7933
1310522a6a99a227
145711a22500355
1526147abee0776
hex11be41678fe77

312141420232311 has 48 divisors (see below), whose sum is σ = 444804030512640. Its totient is φ = 194300194704000.

The previous prime is 312141420232307. The next prime is 312141420232331. The reversal of 312141420232311 is 113232024141213.

It is not a de Polignac number, because 312141420232311 - 22 = 312141420232307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141420232331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46851705 + ... + 53097693.

It is an arithmetic number, because the mean of its divisors is an integer number (9266750635680).

Almost surely, 2312141420232311 is an apocalyptic number.

312141420232311 is a deficient number, since it is larger than the sum of its proper divisors (132662610280329).

312141420232311 is a wasteful number, since it uses less digits than its factorization.

312141420232311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246288 (or 6246187 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 312141420232311 its reverse (113232024141213), we get a palindrome (425373444373524).

The spelling of 312141420232311 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty million, two hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 23 69 71 101 213 303 1633 2323 4899 6969 7171 10201 21513 30603 164933 234623 494799 703869 724271 2172813 6245989 16658233 18737967 49974699 143657747 430973241 443465219 630844889 1330395657 1892534667 10199700037 14509432447 30599100111 43528297341 44789987119 63715333789 134369961357 191146001367 1030169703737 1465452677147 3090509111211 4396358031441 4523788699019 13571366097057 104047140077437 312141420232311