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313201030221 = 32172773155777
BaseRepresentation
bin1001000111011000011…
…11000111010001001101
31002221102111222211211100
410203230033013101031
520112413430431341
6355514345013313
731425261555042
oct4435417072115
91087374884740
10313201030221
111109118a8732
125084a484239
13236c4a587b1
141123247b1c9
1582315c03b6
hex48ec3c744d

313201030221 has 36 divisors (see below), whose sum is σ = 481203538452. Its totient is φ = 196262805504.

The previous prime is 313201030189. The next prime is 313201030243. The reversal of 313201030221 is 122030102313.

313201030221 is a `hidden beast` number, since 31 + 320 + 10 + 302 + 2 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9696996 + 313191333225 = 3114^2 + 559635^2 .

It is not a de Polignac number, because 313201030221 - 25 = 313201030189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313201030194 and 313201030203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313201035221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1932685 + ... + 2088461.

It is an arithmetic number, because the mean of its divisors is an integer number (13366764957).

Almost surely, 2313201030221 is an apocalyptic number.

It is an amenable number.

313201030221 is a deficient number, since it is larger than the sum of its proper divisors (168002508231).

313201030221 is a wasteful number, since it uses less digits than its factorization.

313201030221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156590 (or 156570 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313201030221 its reverse (122030102313), we get a palindrome (435231132534).

The spelling of 313201030221 in words is "three hundred thirteen billion, two hundred one million, thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 289 773 867 2319 2601 6957 13141 39423 118269 155777 223397 467331 670191 1401993 2010573 2648209 7944627 23833881 45019553 120415621 135058659 361246863 405175977 1083740589 2047065557 6141196671 18423590013 34800114469 104400343407 313201030221