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43141133114117 is a prime number
BaseRepresentation
bin10011100111100100100111…
…11010100001101100000101
312122202020210202001022212022
421303302103322201230011
521123311020034122432
6231430432444132525
712041562332011613
oct1163622372415405
9178666722038768
1043141133114117
1112823062a57335
124a0905a237145
131b0c26466287c
14a920832bc6b3
154ec2ee8a9b12
hex273c93ea1b05

43141133114117 has 2 divisors, whose sum is σ = 43141133114118. Its totient is φ = 43141133114116.

The previous prime is 43141133114069. The next prime is 43141133114153. The reversal of 43141133114117 is 71141133114134.

43141133114117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42257982376996 + 883150737121 = 6500614^2 + 939761^2 .

It is a cyclic number.

It is not a de Polignac number, because 43141133114117 - 240 = 42041621486341 is a prime.

It is a super-2 number, since 2×431411331141172 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (43141133114197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21570566557058 + 21570566557059.

It is an arithmetic number, because the mean of its divisors is an integer number (21570566557059).

Almost surely, 243141133114117 is an apocalyptic number.

It is an amenable number.

43141133114117 is a deficient number, since it is larger than the sum of its proper divisors (1).

43141133114117 is an equidigital number, since it uses as much as digits as its factorization.

43141133114117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 35.

The spelling of 43141133114117 in words is "forty-three trillion, one hundred forty-one billion, one hundred thirty-three million, one hundred fourteen thousand, one hundred seventeen".