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214420313313 = 3223824479257
BaseRepresentation
bin1100011110110001110…
…0100101010011100001
3202111110022122111112200
43013230130211103201
512003113100011223
6242300415243413
721330351406533
oct3075434452341
9674408574480
10214420313313
1182a3174a008
1235680b19569
13172b1a3254b
14a541329853
15589e42ea43
hex31ec7254e1

214420313313 has 6 divisors (see below), whose sum is σ = 309718230354. Its totient is φ = 142946875536.

The previous prime is 214420313279. The next prime is 214420313329. The reversal of 214420313313 is 313313024412.

It is a happy number.

214420313313 is a `hidden beast` number, since 2 + 14 + 4 + 20 + 313 + 313 = 666.

214420313313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 151548261264 + 62872052049 = 389292^2 + 250743^2 .

It is not a de Polignac number, because 214420313313 - 26 = 214420313249 is a prime.

It is a super-2 number, since 2×2144203133132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214420313213) 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 5 ways as a sum of consecutive naturals, for example, 11912239620 + ... + 11912239637.

It is an arithmetic number, because the mean of its divisors is an integer number (51619705059).

Almost surely, 2214420313313 is an apocalyptic number.

It is an amenable number.

214420313313 is a deficient number, since it is larger than the sum of its proper divisors (95297917041).

214420313313 is a wasteful number, since it uses less digits than its factorization.

214420313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23824479263 (or 23824479260 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 214420313313 its reverse (313313024412), we get a palindrome (527733337725).

The spelling of 214420313313 in words is "two hundred fourteen billion, four hundred twenty million, three hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 23824479257 71473437771 214420313313