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13414107187813 is a prime number
BaseRepresentation
bin1100001100110011011100…
…0110000000101001100101
31202111101011012020021212211
43003030313012000221211
53224234042420002223
644310204502443421
72553065036541013
oct303146706005145
952441135207784
1013414107187813
1143019888910a2
1216078b1433571
13763c38b94967
14345363a038b3
15183de97d7d0d
hexc3337180a65

13414107187813 has 2 divisors, whose sum is σ = 13414107187814. Its totient is φ = 13414107187812.

The previous prime is 13414107187787. The next prime is 13414107187853. The reversal of 13414107187813 is 31878170141431.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13123679966244 + 290427221569 = 3622662^2 + 538913^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13414107187813 is a prime.

It is a super-2 number, since 2×134141071878132 (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 (13414107187853) 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 as a sum of consecutive naturals, namely, 6707053593906 + 6707053593907.

It is an arithmetic number, because the mean of its divisors is an integer number (6707053593907).

Almost surely, 213414107187813 is an apocalyptic number.

It is an amenable number.

13414107187813 is a deficient number, since it is larger than the sum of its proper divisors (1).

13414107187813 is an equidigital number, since it uses as much as digits as its factorization.

13414107187813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 451584, while the sum is 49.

The spelling of 13414107187813 in words is "thirteen trillion, four hundred fourteen billion, one hundred seven million, one hundred eighty-seven thousand, eight hundred thirteen".