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12233023101 = 3213104555753
BaseRepresentation
bin10110110010010010…
…10001111001111101
31011120112120221221200
423121021101321331
5200023123214401
65341512050113
7612100660245
oct133111217175
934515527850
1012233023101
11520824a352
122454993939
1311cc511b10
14840958b25
154b8e4e686
hex2d9251e7d

12233023101 has 12 divisors (see below), whose sum is σ = 19029147228. Its totient is φ = 7528014144.

The previous prime is 12233023093. The next prime is 12233023129. The reversal of 12233023101 is 10132033221.

12233023101 is a `hidden beast` number, since 1 + 22 + 330 + 2 + 310 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6376182201 + 5856840900 = 79851^2 + 76530^2 .

It is not a de Polignac number, because 12233023101 - 23 = 12233023093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233023151) 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 11 ways as a sum of consecutive naturals, for example, 52277760 + ... + 52277993.

It is an arithmetic number, because the mean of its divisors is an integer number (1585762269).

Almost surely, 212233023101 is an apocalyptic number.

It is an amenable number.

12233023101 is a deficient number, since it is larger than the sum of its proper divisors (6796124127).

12233023101 is a wasteful number, since it uses less digits than its factorization.

12233023101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104555772 (or 104555769 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12233023101 its reverse (10132033221), we get a palindrome (22365056322).

The spelling of 12233023101 in words is "twelve billion, two hundred thirty-three million, twenty-three thousand, one hundred one".

Divisors: 1 3 9 13 39 117 104555753 313667259 941001777 1359224789 4077674367 12233023101