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12221332001301 = 331225115837687
BaseRepresentation
bin1011000111011000000000…
…1001110001001000010101
31121021100101122021201211010
42301312000021301020111
53100213241443020201
641554222531002433
72400650666666103
oct261660011611025
947240348251733
1012221332001301
11399204633a345
1214546ab439419
136a860b347527
14303730c36c73
15162d89022bd6
hexb1d80271215

12221332001301 has 16 divisors (see below), whose sum is σ = 16821508128768. Its totient is φ = 7884378711600.

The previous prime is 12221332001297. The next prime is 12221332001317. The reversal of 12221332001301 is 10310023312221.

It is not a de Polignac number, because 12221332001301 - 22 = 12221332001297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221332001371) 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 15 ways as a sum of consecutive naturals, for example, 825321 + ... + 5012366.

It is an arithmetic number, because the mean of its divisors is an integer number (1051344258048).

Almost surely, 212221332001301 is an apocalyptic number.

It is an amenable number.

12221332001301 is a deficient number, since it is larger than the sum of its proper divisors (4600176127467).

12221332001301 is a wasteful number, since it uses less digits than its factorization.

12221332001301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860232.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12221332001301 its reverse (10310023312221), we get a palindrome (22531355313522).

The spelling of 12221332001301 in words is "twelve trillion, two hundred twenty-one billion, three hundred thirty-two million, one thousand, three hundred one".

Divisors: 1 3 31 93 22511 67533 697841 2093523 5837687 17513061 180968297 542904891 131412172057 394236516171 4073777333767 12221332001301