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340220423011221 = 344200252135941
BaseRepresentation
bin100110101011011011011110…
…1011101010111101110010101
31122121121202101020122202020000
41031112312331131113232111
5324043132411242324341
63203331034334401513
7131443054146316434
oct11526667535275625
91577552336582200
10340220423011221
119944a742297365
12321a8bb7360299
13117ab85720386c
146002a8354d11b
15294eda99778b6
hex1356dbd757b95

340220423011221 has 10 divisors (see below), whose sum is σ = 508230508448982. Its totient is φ = 226813615340760.

The previous prime is 340220423011219. The next prime is 340220423011223. The reversal of 340220423011221 is 122110324022043.

340220423011221 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 2 + 0 + 423 + 0 + 11 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (340220423011219) and next prime (340220423011223).

It can be written as a sum of positive squares in only one way, i.e., 339720708332196 + 499714679025 = 18431514^2 + 706905^2 .

It is not a de Polignac number, because 340220423011221 - 21 = 340220423011219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340220423011223) 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 9 ways as a sum of consecutive naturals, for example, 2100126067890 + ... + 2100126068051.

Almost surely, 2340220423011221 is an apocalyptic number.

It is an amenable number.

340220423011221 is a deficient number, since it is larger than the sum of its proper divisors (168010085437761).

340220423011221 is an equidigital number, since it uses as much as digits as its factorization.

340220423011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200252135953 (or 4200252135944 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 340220423011221 its reverse (122110324022043), we get a palindrome (462330747033264).

The spelling of 340220423011221 in words is "three hundred forty trillion, two hundred twenty billion, four hundred twenty-three million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 4200252135941 12600756407823 37802269223469 113406807670407 340220423011221