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13655010041221 is a prime number
BaseRepresentation
bin1100011010110100111000…
…0001011101110110000101
31210100101222010110012220211
43012231032001131312011
53242210430032304341
645013005222555421
72606353610160343
oct306551601356605
953311863405824
1013655010041221
11439506a20147a
121646523298b71
1378087b31b773
14352c98152993
1518a2e8b36181
hexc6b4e05dd85

13655010041221 has 2 divisors, whose sum is σ = 13655010041222. Its totient is φ = 13655010041220.

The previous prime is 13655010041191. The next prime is 13655010041353. The reversal of 13655010041221 is 12214001055631.

13655010041221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10585190673121 + 3069819368100 = 3253489^2 + 1752090^2 .

It is a cyclic number.

It is not a de Polignac number, because 13655010041221 - 29 = 13655010040709 is a prime.

It is a super-2 number, since 2×136550100412212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13655010047221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6827505020610 + 6827505020611.

It is an arithmetic number, because the mean of its divisors is an integer number (6827505020611).

Almost surely, 213655010041221 is an apocalyptic number.

It is an amenable number.

13655010041221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13655010041221 is an equidigital number, since it uses as much as digits as its factorization.

13655010041221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 13655010041221 its reverse (12214001055631), we get a palindrome (25869011096852).

The spelling of 13655010041221 in words is "thirteen trillion, six hundred fifty-five billion, ten million, forty-one thousand, two hundred twenty-one".