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312141420200021 = 25711292177349409
BaseRepresentation
bin100011011111001000001011…
…0011110001000000001010101
31111221012102120021002012120112
41012332100112132020001111
5311403111112032400041
63023511442220012405
7122514321243405536
oct10676202636100125
91457172507065515
10312141420200021
1190504484213795
122b013122091105
1310522a6a988619
145711a224d268d
1526147abed5deb
hex11be416788055

312141420200021 has 16 divisors (see below), whose sum is σ = 313654282743600. Its totient is φ = 310630907117568.

The previous prime is 312141420199957. The next prime is 312141420200059. The reversal of 312141420200021 is 120002024141213.

It can be written as a sum of positive squares in 8 ways, for example, as 9801971256100 + 302339448943921 = 3130810^2 + 17387911^2 .

It is a cyclic number.

It is not a de Polignac number, because 312141420200021 - 26 = 312141420199957 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312141420200021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141420200081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6317476565 + ... + 6317525973.

It is an arithmetic number, because the mean of its divisors is an integer number (19603392671475).

Almost surely, 2312141420200021 is an apocalyptic number.

It is an amenable number.

312141420200021 is a deficient number, since it is larger than the sum of its proper divisors (1512862543579).

312141420200021 is a wasteful number, since it uses less digits than its factorization.

312141420200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72568.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 312141420200021 its reverse (120002024141213), we get a palindrome (432143444341234).

The spelling of 312141420200021 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty million, two hundred thousand, twenty-one".

Divisors: 1 257 1129 21773 49409 290153 5595661 12698113 24581717 55782761 1075782157 6317501269 14336169577 276476014349 1214558055253 312141420200021