Search a number
-
+
12210131123213 = 312732713591789
BaseRepresentation
bin1011000110101110010010…
…0001110011110000001101
31121020021111000212011122112
42301223210201303300031
53100022322031420323
641545131245153405
72400103301050622
oct261534441636015
947207430764575
1012210131123213
113988318779901
1214524a425b865
136a754491900a
14302d8b3d6349
15162930a04178
hexb1ae4873c0d

12210131123213 has 48 divisors (see below), whose sum is σ = 12879689817600. Its totient is φ = 11572568236800.

The previous prime is 12210131123167. The next prime is 12210131123219. The reversal of 12210131123213 is 31232113101221.

It is a happy number.

It is not a de Polignac number, because 12210131123213 - 26 = 12210131123149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210131123219) 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, 6825114323 + ... + 6825116111.

It is an arithmetic number, because the mean of its divisors is an integer number (268326871200).

Almost surely, 212210131123213 is an apocalyptic number.

It is an amenable number.

12210131123213 is a deficient number, since it is larger than the sum of its proper divisors (669558694387).

12210131123213 is a wasteful number, since it uses less digits than its factorization.

12210131123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 12210131123213 its reverse (31232113101221), we get a palindrome (43442244224434).

The spelling of 12210131123213 in words is "twelve trillion, two hundred ten billion, one hundred thirty-one million, one hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 31 73 271 359 961 1789 2263 8401 11129 19783 26207 55459 70153 97289 130597 260431 344999 484819 613273 642251 812417 1719229 3015959 4048507 7102097 15029389 19011463 19909781 25184927 35391787 46884323 93494729 125503717 174050021 220165007 465911059 617203211 1097145397 1453414013 5395550651 6825115217 12705651533 34011507307 45055834403 167262070181 393875197523 12210131123213