Search a number
-
+
423120114313 = 131718917101209
BaseRepresentation
bin1100010100000111110…
…11001001001010001001
31111110010222010212102221
412022003323021022021
523413022222124223
6522213444254041
742366211426051
oct6120373111211
91443128125387
10423120114313
11153498301496
126a0060a1321
1330b91564460
141669c9da561
15b016532b5d
hex6283ec9289

423120114313 has 16 divisors (see below), whose sum is σ = 482502076560. Its totient is φ = 367574501376.

The previous prime is 423120114311. The next prime is 423120114317. The reversal of 423120114313 is 313411021324.

It can be written as a sum of positive squares in 8 ways, for example, as 512207424 + 422607906889 = 22632^2 + 650083^2 .

It is a cyclic number.

It is not a de Polignac number, because 423120114313 - 21 = 423120114311 is a prime.

It is a super-3 number, since 3×4231201143133 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (423120114311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4130053 + ... + 4231261.

It is an arithmetic number, because the mean of its divisors is an integer number (30156379785).

Almost surely, 2423120114313 is an apocalyptic number.

It is an amenable number.

423120114313 is a deficient number, since it is larger than the sum of its proper divisors (59381962247).

423120114313 is a wasteful number, since it uses less digits than its factorization.

423120114313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120156.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 423120114313 its reverse (313411021324), we get a palindrome (736531135637).

The spelling of 423120114313 in words is "four hundred twenty-three billion, one hundred twenty million, one hundred fourteen thousand, three hundred thirteen".

Divisors: 1 13 17 221 18917 101209 245921 321589 1315717 1720553 4180657 22367189 1914570653 24889418489 32547701101 423120114313