Search a number
-
+
12233332201 = 1011131975441
BaseRepresentation
bin10110110010010100…
…11101010111101001
31011120120011122221211
423121022131113221
5200023213112301
65341522433121
7612103415356
oct133112352751
934516148854
1012233332201
115208440602
122454b027a1
1311cc5bc70c
148409d962d
154b8eb1051
hex2d929d5e9

12233332201 has 16 divisors (see below), whose sum is σ = 12529356048. Its totient is φ = 11941888000.

The previous prime is 12233332159. The next prime is 12233332231. The reversal of 12233332201 is 10223333221.

It can be written as a sum of positive squares in 8 ways, for example, as 1911788176 + 10321544025 = 43724^2 + 101595^2 .

It is a cyclic number.

It is not a de Polignac number, because 12233332201 - 29 = 12233331689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12233332231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2245641 + ... + 2251081.

It is an arithmetic number, because the mean of its divisors is an integer number (783084753).

Almost surely, 212233332201 is an apocalyptic number.

It is an amenable number.

12233332201 is a deficient number, since it is larger than the sum of its proper divisors (296023847).

12233332201 is a wasteful number, since it uses less digits than its factorization.

12233332201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12233332201 its reverse (10223333221), we get a palindrome (22456665422).

It can be divided in two parts, 1223333220 and 1, that added together give a palindrome (1223333221).

The spelling of 12233332201 in words is "twelve billion, two hundred thirty-three million, three hundred thirty-two thousand, two hundred one".

Divisors: 1 101 113 197 5441 11413 19897 22261 549541 614833 1071877 2248361 62098133 108259577 121122101 12233332201