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4194379410101 is a prime number
BaseRepresentation
bin111101000010010100011…
…111101010101010110101
3112211222102111211211120022
4331002110133222222311
51022210042112110401
612530512111214525
7612014426506466
oct75022437525265
915758374754508
104194379410101
11137790a914451
12578a95217445
132456b383166a
1410701ab76d6d
157418ac8e71b
hex3d0947eaab5

4194379410101 has 2 divisors, whose sum is σ = 4194379410102. Its totient is φ = 4194379410100.

The previous prime is 4194379410079. The next prime is 4194379410119. The reversal of 4194379410101 is 1010149734914.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4146823140625 + 47556269476 = 2036375^2 + 218074^2 .

It is a cyclic number.

It is not a de Polignac number, because 4194379410101 - 214 = 4194379393717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4194379410161) 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, 2097189705050 + 2097189705051.

It is an arithmetic number, because the mean of its divisors is an integer number (2097189705051).

Almost surely, 24194379410101 is an apocalyptic number.

It is an amenable number.

4194379410101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4194379410101 is an equidigital number, since it uses as much as digits as its factorization.

4194379410101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 4194379410101 in words is "four trillion, one hundred ninety-four billion, three hundred seventy-nine million, four hundred ten thousand, one hundred one".