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4134233131801 is a prime number
BaseRepresentation
bin111100001010010011011…
…111110100101100011001
3112122020011211000022201021
4330022103133310230121
51020213402140204201
612443123535522441
7604455102542443
oct74122337645431
915566154008637
104134233131801
111354355907333
125692aa389421
1323cb199a9586
14104152ac7493
157281a794ea1
hex3c2937f4b19

4134233131801 has 2 divisors, whose sum is σ = 4134233131802. Its totient is φ = 4134233131800.

The previous prime is 4134233131751. The next prime is 4134233131841. The reversal of 4134233131801 is 1081313324314.

4134233131801 is digitally balanced in base 3, 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., 2131894930201 + 2002338201600 = 1460101^2 + 1415040^2 .

It is a cyclic number.

It is not a de Polignac number, because 4134233131801 - 225 = 4134199577369 is a prime.

It is a super-2 number, since 2×41342331318012 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4134233131841) 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, 2067116565900 + 2067116565901.

It is an arithmetic number, because the mean of its divisors is an integer number (2067116565901).

Almost surely, 24134233131801 is an apocalyptic number.

It is an amenable number.

4134233131801 is a deficient number, since it is larger than the sum of its proper divisors (1).

4134233131801 is an equidigital number, since it uses as much as digits as its factorization.

4134233131801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 4134233131801 in words is "four trillion, one hundred thirty-four billion, two hundred thirty-three million, one hundred thirty-one thousand, eight hundred one".