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1311144320421 = 321365777170369
BaseRepresentation
bin10011000101000110010…
…010101001110110100101
311122100021220100120212100
4103011012102221312211
5132440210421223141
62442155325042313
7163504243560435
oct23050622516645
94570256316770
101311144320421
11466064873061
121921376b6399
1396842bb2790
14476616a62c5
152418c4c10b6
hex131464a9da5

1311144320421 has 24 divisors (see below), whose sum is σ = 2039600810520. Its totient is φ = 806841040896.

The previous prime is 1311144320389. The next prime is 1311144320441. The reversal of 1311144320421 is 1240234411131.

It is a happy number.

1311144320421 is a `hidden beast` number, since 1 + 3 + 1 + 11 + 443 + 204 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 429141597921 + 882002722500 = 655089^2 + 939150^2 .

It is not a de Polignac number, because 1311144320421 - 25 = 1311144320389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311144320441) 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 23 ways as a sum of consecutive naturals, for example, 7610725 + ... + 7781093.

It is an arithmetic number, because the mean of its divisors is an integer number (84983367105).

Almost surely, 21311144320421 is an apocalyptic number.

It is an amenable number.

1311144320421 is a deficient number, since it is larger than the sum of its proper divisors (728456490099).

1311144320421 is a wasteful number, since it uses less digits than its factorization.

1311144320421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236165 (or 236162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1311144320421 its reverse (1240234411131), we get a palindrome (2551378731552).

The spelling of 1311144320421 in words is "one trillion, three hundred eleven billion, one hundred forty-four million, three hundred twenty thousand, four hundred twenty-one".

Divisors: 1 3 9 13 39 117 65777 170369 197331 511107 591993 855101 1533321 2214797 2565303 6644391 7695909 19933173 11206361713 33619085139 100857255417 145682702269 437048106807 1311144320421