Search a number
-
+
12222001003001 = 313593972766277
BaseRepresentation
bin1011000111011010100000…
…0001110011100111111001
31121021102010021010112121212
42301312220001303213321
53100221124224044001
641554413150012505
72401003402263266
oct261665001634771
947242107115555
1012222001003001
113992359a37209
1214548574a7135
136a86b6b2241a
14303795a2226d
15162dc7b207bb
hexb1da80739f9

12222001003001 has 16 divisors (see below), whose sum is σ = 12683273978880. Its totient is φ = 11765082479040.

The previous prime is 12222001002949. The next prime is 12222001003019. The reversal of 12222001003001 is 10030010022221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12222001003001 - 214 = 12222000986617 is a prime.

It is a super-2 number, since 2×122220010030012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12222001003061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3035075 + ... + 5801351.

It is an arithmetic number, because the mean of its divisors is an integer number (792704623680).

Almost surely, 212222001003001 is an apocalyptic number.

It is an amenable number.

12222001003001 is a deficient number, since it is larger than the sum of its proper divisors (461272975879).

12222001003001 is a wasteful number, since it uses less digits than its factorization.

12222001003001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767064.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12222001003001 its reverse (10030010022221), we get a palindrome (22252011025222).

The spelling of 12222001003001 in words is "twelve trillion, two hundred twenty-two billion, one million, three thousand, one".

Divisors: 1 31 359 397 11129 12307 142523 2766277 4418213 85754587 993093443 1098211969 30785896733 34044571039 394258096871 12222001003001