Search a number
-
+
12211320321 = 35411518117
BaseRepresentation
bin10110101111101100…
…11111011000000001
31011112000202100100000
423113312133120001
5200002044222241
65335414550213
7611415336654
oct132766373001
934460670300
1012211320321
1151a6a76772
122449668369
1311c7b83635
1483bb0989b
154b70b3eb6
hex2d7d9f601

12211320321 has 48 divisors (see below), whose sum is σ = 18864413568. Its totient is φ = 7888752000.

The previous prime is 12211320313. The next prime is 12211320389. The reversal of 12211320321 is 12302311221.

12211320321 is a `hidden beast` number, since 1 + 2 + 21 + 1 + 320 + 321 = 666.

It is not a de Polignac number, because 12211320321 - 23 = 12211320313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12211320294 and 12211320303.

It is not an unprimeable number, because it can be changed into a prime (12211320421) 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 47 ways as a sum of consecutive naturals, for example, 1500355 + ... + 1508471.

It is an arithmetic number, because the mean of its divisors is an integer number (393008616).

Almost surely, 212211320321 is an apocalyptic number.

It is an amenable number.

12211320321 is a deficient number, since it is larger than the sum of its proper divisors (6653093247).

12211320321 is an equidigital number, since it uses as much as digits as its factorization.

12211320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12211320321 its reverse (12302311221), we get a palindrome (24513631542).

The spelling of 12211320321 in words is "twelve billion, two hundred eleven million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 27 41 81 123 151 243 369 453 1107 1359 3321 4077 6191 8117 9963 12231 18573 24351 36693 55719 73053 167157 219159 332797 501471 657477 998391 1225667 1504413 1972431 2995173 3677001 8985519 11031003 26956557 33093009 50252347 80869671 99279027 150757041 297837081 452271123 1356813369 4070440107 12211320321