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4140101117 is a prime number
BaseRepresentation
bin1111011011000100…
…1110110111111101
3101200112022221001102
43312301032313331
531434331213432
61522452422445
7204411164435
oct36661166775
911615287042
104140101117
111834a85279
12976617a25
1350c965a99
142b3bc32c5
151936eb962
hexf6c4edfd

4140101117 has 2 divisors, whose sum is σ = 4140101118. Its totient is φ = 4140101116.

The previous prime is 4140101101. The next prime is 4140101129. The reversal of 4140101117 is 7111010414.

It is a happy number.

4140101117 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., 2715868996 + 1424232121 = 52114^2 + 37739^2 .

It is a cyclic number.

It is not a de Polignac number, because 4140101117 - 24 = 4140101101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4140107117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070050558 + 2070050559.

It is an arithmetic number, because the mean of its divisors is an integer number (2070050559).

Almost surely, 24140101117 is an apocalyptic number.

It is an amenable number.

4140101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

4140101117 is an equidigital number, since it uses as much as digits as its factorization.

4140101117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 4140101117 is about 64343.6175311895. The cubic root of 4140101117 is about 1605.7218463472.

The spelling of 4140101117 in words is "four billion, one hundred forty million, one hundred one thousand, one hundred seventeen".