Search a number
-
+
214241343113031 = 313292272513324613
BaseRepresentation
bin110000101101100111110011…
…001001110000011101000111
31001002120021100120012110000220
4300231213303021300131013
5211040112232314104111
62035353040405035423
763061266126415413
oct6055476311603507
91032507316173026
10214241343113031
116229a274a21943
12200414a83b5b73
139270b44935c90
143ac949cc85d43
1519b7d97ca2e06
hexc2d9f3270747

214241343113031 has 64 divisors (see below), whose sum is σ = 320911956933120. Its totient is φ = 126228868416000.

The previous prime is 214241343113023. The next prime is 214241343113167. The reversal of 214241343113031 is 130311343142412.

It is a happy number.

It is not a de Polignac number, because 214241343113031 - 23 = 214241343113023 is a prime.

It is a super-2 number, since 2×2142413431130312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214241343112983 and 214241343113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214241343113731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62778681 + ... + 66103293.

It is an arithmetic number, because the mean of its divisors is an integer number (5014249327080).

Almost surely, 2214241343113031 is an apocalyptic number.

214241343113031 is a deficient number, since it is larger than the sum of its proper divisors (106670613820089).

214241343113031 is a wasteful number, since it uses less digits than its factorization.

214241343113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325136.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 214241343113031 its reverse (130311343142412), we get a palindrome (344552686255443).

The spelling of 214241343113031 in words is "two hundred fourteen trillion, two hundred forty-one billion, three hundred forty-three million, one hundred thirteen thousand, thirty-one".

Divisors: 1 3 13 29 39 87 227 251 377 681 753 1131 2951 3263 6583 7279 8853 9789 19749 21837 56977 85579 94627 170931 256737 283881 740701 1652333 2222103 3324613 4956999 9973839 21480329 43219969 64440987 96413777 129659907 289241331 754687151 834477863 1253379101 2264061453 2503433589 3760137303 9810932963 10848212219 21885927379 24199858027 29432798889 32544636657 65657782137 72599574081 189426474901 284517055927 314598154351 568279424703 853551167781 943794463053 2462544173713 5493367772129 7387632521139 16480103316387 71413781037677 214241343113031