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4141133110129 is a prime number
BaseRepresentation
bin111100010000101110110…
…001001001101101110001
3112122212222200112112120011
4330100232301021231301
51020322020034011004
612450224342214521
7605121065436361
oct74205661115561
915585880475504
104141133110129
111357276755164
1256a6b5124441
13240679361ba2
141046092489a1
1572ac1403004
hex3c42ec49b71

4141133110129 has 2 divisors, whose sum is σ = 4141133110130. Its totient is φ = 4141133110128.

The previous prime is 4141133110109. The next prime is 4141133110189. The reversal of 4141133110129 is 9210113311414.

4141133110129 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., 3839534437729 + 301598672400 = 1959473^2 + 549180^2 .

It is a cyclic number.

It is not a de Polignac number, because 4141133110129 - 211 = 4141133108081 is a prime.

It is a super-3 number, since 3×41411331101293 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4141133110129.

It is not a weakly prime, because it can be changed into another prime (4141133110109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070566555064 + 2070566555065.

It is an arithmetic number, because the mean of its divisors is an integer number (2070566555065).

Almost surely, 24141133110129 is an apocalyptic number.

It is an amenable number.

4141133110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4141133110129 is an equidigital number, since it uses as much as digits as its factorization.

4141133110129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 4141133110129 in words is "four trillion, one hundred forty-one billion, one hundred thirty-three million, one hundred ten thousand, one hundred twenty-nine".