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12245133154221 = 32111011224635779
BaseRepresentation
bin1011001000110000101011…
…0011111101011110101101
31121100121211101100120121100
42302030022303331132231
53101111013041413341
642013200404153313
72402452546313352
oct262141263753655
947317741316540
1012245133154221
1139a114a487860
121459232398839
136aa9323a1276
1430494bcb0629
151637cd8363b6
hexb230acfd7ad

12245133154221 has 24 divisors (see below), whose sum is σ = 19486404531360. Its totient is φ = 7347814668000.

The previous prime is 12245133154217. The next prime is 12245133154259.

12245133154221 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 51 + 331 + 54 + 221 = 666.

12245133154221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12245133154221 - 22 = 12245133154217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245133152221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612307891 + ... + 612327888.

It is an arithmetic number, because the mean of its divisors is an integer number (811933522140).

Almost surely, 212245133154221 is an apocalyptic number.

12245133154221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12245133154221 is a deficient number, since it is larger than the sum of its proper divisors (7241271377139).

12245133154221 is a wasteful number, since it uses less digits than its factorization.

12245133154221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224635897 (or 1224635894 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 1224513 and 3154221, that added together give a palindrome (4378734).

The spelling of 12245133154221 in words is "twelve trillion, two hundred forty-five billion, one hundred thirty-three million, one hundred fifty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9999 1224635779 3673907337 11021722011 13470993569 40412980707 121238942121 123688213679 371064641037 1113193923111 1360570350469 4081711051407 12245133154221