Search a number
-
+
12223233201001 = 1011159331043897
BaseRepresentation
bin1011000111011111000101…
…1110010001001101101001
31121021112022010201200111211
42301313301132101031221
53100231140144413001
641555135324153121
72401046053633264
oct261676136211551
947245263650454
1012223233201001
113992931534869
121454b400987a1
136a88521ab174
14303871533cdb
15162e4adbb351
hexb1df1791369

12223233201001 has 8 divisors (see below), whose sum is σ = 12344373614664. Its totient is φ = 12102095107200.

The previous prime is 12223233200977. The next prime is 12223233201007. The reversal of 12223233201001 is 10010233232221.

It can be written as a sum of positive squares in 4 ways, for example, as 1431193505625 + 10792039695376 = 1196325^2 + 3285124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12223233201001 - 27 = 12223233200873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12223233201007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11187285 + ... + 12231181.

It is an arithmetic number, because the mean of its divisors is an integer number (1543046701833).

Almost surely, 212223233201001 is an apocalyptic number.

It is an amenable number.

12223233201001 is a deficient number, since it is larger than the sum of its proper divisors (121140413663).

12223233201001 is a wasteful number, since it uses less digits than its factorization.

12223233201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159931.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12223233201001 its reverse (10010233232221), we get a palindrome (22233466433222).

The spelling of 12223233201001 in words is "twelve trillion, two hundred twenty-three billion, two hundred thirty-three million, two hundred one thousand, one".

Divisors: 1 101 115933 1043897 11709233 105433597 121022110901 12223233201001