Search a number
-
+
213320102031 = 32378923813023
BaseRepresentation
bin1100011010101011011…
…1100111000010001111
3202101121122101222101200
43012222313213002033
511443334421231111
6241555314040543
721261161643501
oct3065267470217
9671548358350
10213320102031
11825176aaa93
1235414579153
1317167b0965a
14a479173d71
155837a56256
hex31aade708f

213320102031 has 48 divisors (see below), whose sum is σ = 320252849280. Its totient is φ = 136712378880.

The previous prime is 213320102011. The next prime is 213320102057. The reversal of 213320102031 is 130201023312.

213320102031 is a `hidden beast` number, since 213 + 320 + 102 + 0 + 31 = 666.

It is not a de Polignac number, because 213320102031 - 25 = 213320101999 is a prime.

It is a super-2 number, since 2×2133201020312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213320101995 and 213320102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213320102011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70564186 + ... + 70567208.

It is an arithmetic number, because the mean of its divisors is an integer number (6671934360).

Almost surely, 2213320102031 is an apocalyptic number.

213320102031 is a deficient number, since it is larger than the sum of its proper divisors (106932747249).

213320102031 is a wasteful number, since it uses less digits than its factorization.

213320102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536 (or 5533 counting only the distinct ones).

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

Adding to 213320102031 its reverse (130201023312), we get a palindrome (343521125343).

The spelling of 213320102031 in words is "two hundred thirteen billion, three hundred twenty million, one hundred two thousand, thirty-one".

Divisors: 1 3 9 37 89 111 267 333 801 2381 3023 3293 7143 9069 9879 21429 27207 29637 88097 111851 211909 264291 269047 335553 635727 792873 807141 1006659 1907181 2421423 7197763 7840633 9954739 21593289 23521899 29864217 64779867 70565697 89592651 266317231 640600907 798951693 1921802721 2396855079 5765408163 23702233559 71106700677 213320102031