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9193806101 is a prime number
BaseRepresentation
bin10001000111111111…
…00101100100010101
3212201201202202000002
420203333211210111
5122312103243401
64120143101045
7443555030264
oct104377454425
925651682002
109193806101
113998733667
121946ba1785
13b3697926c
146330645db
1538c210a6b
hex223fe5915

9193806101 has 2 divisors, whose sum is σ = 9193806102. Its totient is φ = 9193806100.

The previous prime is 9193806073. The next prime is 9193806103. The reversal of 9193806101 is 1016083919.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8326562500 + 867243601 = 91250^2 + 29449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9193806101 is a prime.

It is a Sophie Germain prime.

Together with 9193806103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9193806103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4596903050 + 4596903051.

It is an arithmetic number, because the mean of its divisors is an integer number (4596903051).

Almost surely, 29193806101 is an apocalyptic number.

It is an amenable number.

9193806101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9193806101 is an equidigital number, since it uses as much as digits as its factorization.

9193806101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 38.

The square root of 9193806101 is about 95884.3370994450. The cubic root of 9193806101 is about 2094.9087628561.

The spelling of 9193806101 in words is "nine billion, one hundred ninety-three million, eight hundred six thousand, one hundred one".