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9220113101 is a prime number
BaseRepresentation
bin10001001011000111…
…11100001011001101
3212210120021021102102
420211203330023031
5122340322104401
64122523004445
7444324445133
oct104543741315
925716237372
109220113101
113a01571491
121953969725
13b3c25a334
14636751753
1538e6aa56b
hex2258fc2cd

9220113101 has 2 divisors, whose sum is σ = 9220113102. Its totient is φ = 9220113100.

The previous prime is 9220113061. The next prime is 9220113107. The reversal of 9220113101 is 1013110229.

9220113101 is digitally balanced in base 2, 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., 9084949225 + 135163876 = 95315^2 + 11626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9220113101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9220113107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4610056550 + 4610056551.

It is an arithmetic number, because the mean of its divisors is an integer number (4610056551).

Almost surely, 29220113101 is an apocalyptic number.

It is an amenable number.

9220113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9220113101 is an equidigital number, since it uses as much as digits as its factorization.

9220113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 9220113101 is about 96021.4200113704. The cubic root of 9220113101 is about 2096.9049721621.

The spelling of 9220113101 in words is "nine billion, two hundred twenty million, one hundred thirteen thousand, one hundred one".