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9221037313 is a prime number
BaseRepresentation
bin10001001011001110…
…11101110100000001
3212210122000020012111
420211213131310001
5122341041143223
64122554455321
7444335344465
oct104547356401
925718006174
109221037313
113a020428a4
121954134541
13b3c4c1bc7
146369124a5
1538e7de30d
hex2259ddd01

9221037313 has 2 divisors, whose sum is σ = 9221037314. Its totient is φ = 9221037312.

The previous prime is 9221037283. The next prime is 9221037349. The reversal of 9221037313 is 3137301229.

It is a happy number.

9221037313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8484620544 + 736416769 = 92112^2 + 27137^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9221037313 is a prime.

It is not a weakly prime, because it can be changed into another prime (9221037373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4610518656 + 4610518657.

It is an arithmetic number, because the mean of its divisors is an integer number (4610518657).

Almost surely, 29221037313 is an apocalyptic number.

It is an amenable number.

9221037313 is a deficient number, since it is larger than the sum of its proper divisors (1).

9221037313 is an equidigital number, since it uses as much as digits as its factorization.

9221037313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 9221037313 is about 96026.2324211463. The cubic root of 9221037313 is about 2096.9750334859.

The spelling of 9221037313 in words is "nine billion, two hundred twenty-one million, thirty-seven thousand, three hundred thirteen".