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411411101114129 is a prime number
BaseRepresentation
bin101110110001011010001110…
…0100010011101111100010001
31222221200111222000012012012012
41131202310130202131330101
5412411024413341123004
64014555352314112305
7152441320420005134
oct13542643442357421
91887614860165165
10411411101114129
1110a0a7517128296
123a18628941b695
1314873b9214b40c
14738459145421b
153286b30a9546e
hex1762d1c89df11

411411101114129 has 2 divisors, whose sum is σ = 411411101114130. Its totient is φ = 411411101114128.

The previous prime is 411411101114093. The next prime is 411411101114141. The reversal of 411411101114129 is 921411101114114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329321702611729 + 82089398502400 = 18147223^2 + 9060320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-411411101114129 is a prime.

It is a super-2 number, since 2×4114111011141292 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 411411101114095 and 411411101114104.

It is not a weakly prime, because it can be changed into another prime (411411101114029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205705550557064 + 205705550557065.

It is an arithmetic number, because the mean of its divisors is an integer number (205705550557065).

Almost surely, 2411411101114129 is an apocalyptic number.

It is an amenable number.

411411101114129 is a deficient number, since it is larger than the sum of its proper divisors (1).

411411101114129 is an equidigital number, since it uses as much as digits as its factorization.

411411101114129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 32.

The spelling of 411411101114129 in words is "four hundred eleven trillion, four hundred eleven billion, one hundred one million, one hundred fourteen thousand, one hundred twenty-nine".