Search a number
-
+
12223231003001 = 233953454912101
BaseRepresentation
bin1011000111011111000101…
…0101111000100101111001
31121021112021222121000102102
42301313301111320211321
53100231134114044001
641555135205113145
72401046026150154
oct261676125704571
947245258530372
1012223231003001
113992930273437
121454b3b3b87b5
136a88518bb885
14303871120c9b
15162e4aad4e6b
hexb1df1578979

12223231003001 has 16 divisors (see below), whose sum is σ = 12292289427600. Its totient is φ = 12154322611200.

The previous prime is 12223231002949. The next prime is 12223231003007. The reversal of 12223231003001 is 10030013232221.

It can be written as a sum of positive squares in 8 ways, for example, as 1103833903225 + 11119397099776 = 1050635^2 + 3334576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12223231003001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12223231003007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010094851 + ... + 1010106951.

It is an arithmetic number, because the mean of its divisors is an integer number (768268089225).

Almost surely, 212223231003001 is an apocalyptic number.

It is an amenable number.

12223231003001 is a deficient number, since it is larger than the sum of its proper divisors (69058424599).

12223231003001 is a wasteful number, since it uses less digits than its factorization.

12223231003001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17836.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12223231003001 its reverse (10030013232221), we get a palindrome (22253244235222).

The spelling of 12223231003001 in words is "twelve trillion, two hundred twenty-three billion, two hundred thirty-one million, three thousand, one".

Divisors: 1 233 953 4549 12101 222049 1059917 2819533 4335197 11532253 55047449 1010100901 2687014949 12826055617 52460218897 12223231003001