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13122121312223 = 7211103236362219
BaseRepresentation
bin1011111011110011101101…
…1000010010011111011111
31201110110111012021222002022
42332330323120102133133
53204443101023442343
643524115212050355
72523020253543500
oct276747330223737
951413435258068
1013122121312223
1141aa07342a110
12157b1a3a639bb
137425454b3101
14335184da4ba7
1517b50a9b4568
hexbef3b6127df

13122121312223 has 24 divisors (see below), whose sum is σ = 16813862881920. Its totient is φ = 10125757419120.

The previous prime is 13122121312199. The next prime is 13122121312241. The reversal of 13122121312223 is 32221312122131.

It is not a de Polignac number, because 13122121312223 - 26 = 13122121312159 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13122121312192 and 13122121312201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122121312273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118125593 + ... + 118236626.

It is an arithmetic number, because the mean of its divisors is an integer number (700577620080).

Almost surely, 213122121312223 is an apocalyptic number.

13122121312223 is a deficient number, since it is larger than the sum of its proper divisors (3691741569697).

13122121312223 is a wasteful number, since it uses less digits than its factorization.

13122121312223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236362347 (or 236362340 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 13122121312223 its reverse (32221312122131), we get a palindrome (45343433434354).

The spelling of 13122121312223 in words is "thirteen trillion, one hundred twenty-two billion, one hundred twenty-one million, three hundred twelve thousand, two hundred twenty-three".

Divisors: 1 7 11 49 77 103 539 721 1133 5047 7931 55517 236362219 1654535533 2599984409 11581748731 18199890863 24345308557 127399236041 170417159899 267798394127 1192920119293 1874588758889 13122121312223