Search a number
-
+
222122132311131 = 3513149834692923
BaseRepresentation
bin110010100000010011010110…
…110010110000110001011011
31002010110200001022102122200000
4302200103112302300301123
5213103222111332424011
62104225255431544043
764533536335346433
oct6240232662606133
91063420038378600
10222122132311131
1164858515a83198
1220ab491082b023
1396c30479b30b0
143cbcaa8d352c3
151aa2d8e1a4356
hexca04d6cb0c5b

222122132311131 has 48 divisors (see below), whose sum is σ = 358344468308736. Its totient is φ = 136681390793376.

The previous prime is 222122132311073. The next prime is 222122132311201. The reversal of 222122132311131 is 131113231221222.

222122132311131 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 2 + 213 + 2 + 311 + 131 = 666.

It is not a de Polignac number, because 222122132311131 - 27 = 222122132311003 is a prime.

It is a super-2 number, since 2×2221221323111312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 222122132311095 and 222122132311104.

It is not an unprimeable number, because it can be changed into a prime (222122132311831) 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, 44984836 + ... + 49677758.

It is an arithmetic number, because the mean of its divisors is an integer number (7465509756432).

Almost surely, 2222122132311131 is an apocalyptic number.

222122132311131 is a deficient number, since it is larger than the sum of its proper divisors (136222335997605).

222122132311131 is a wasteful number, since it uses less digits than its factorization.

222122132311131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707934 (or 4707922 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 222122132311131 its reverse (131113231221222), we get a palindrome (353235363532353).

The spelling of 222122132311131 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, one hundred thirty-two million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 14983 44949 134847 194779 404541 584337 1213623 1753011 3640869 4692923 5259033 14078769 15777099 42236307 47331297 61007999 126708921 183023997 380126763 549071991 1140380289 1647215973 4941647919 14824943757 70314065309 210942195927 632826587781 914082849017 1898479763343 2742248547051 5695439290029 8226745641153 17086317870087 24680236923459 74040710770377 222122132311131