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13121223332 = 227297768521
BaseRepresentation
bin11000011100001010…
…11111101010100100
31020212102220012121112
430032011133222210
5203333013121312
610010001204152
7643104362300
oct141605375244
936772805545
1013121223332
115623652328
122662330658
131311536699
148c68c2d00
1551bde9d22
hex30e15faa4

13121223332 has 36 divisors (see below), whose sum is σ = 26738791884. Its totient is φ = 5617543680.

The previous prime is 13121223331. The next prime is 13121223343. The reversal of 13121223332 is 23332212131.

13121223332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12578519716 + 542703616 = 112154^2 + 23296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13121223298 and 13121223307.

It is not an unprimeable number, because it can be changed into a prime (13121223331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157232 + ... + 225752.

It is an arithmetic number, because the mean of its divisors is an integer number (742744219).

Almost surely, 213121223332 is an apocalyptic number.

It is an amenable number.

13121223332 is an abundant number, since it is smaller than the sum of its proper divisors (13617568552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13121223332 is a wasteful number, since it uses less digits than its factorization.

13121223332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69516 (or 69507 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

Adding to 13121223332 its reverse (23332212131), we get a palindrome (36453435463).

The spelling of 13121223332 in words is "thirteen billion, one hundred twenty-one million, two hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 977 1954 3908 6839 13678 27356 47873 68521 95746 137042 191492 274084 479647 959294 1918588 3357529 6715058 13430116 66945017 133890034 267780068 468615119 937230238 1874460476 3280305833 6560611666 13121223332