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2303312381 is a prime number
BaseRepresentation
bin1000100101001001…
…1100000111111101
312221112002101120222
42021102130013331
514204121444011
61020315551125
7111035555306
oct21122340775
95845071528
102303312381
11a82183757
1254345b4a5
132a9264a46
1417bc917ad
15d7327ddb
hex8949c1fd

2303312381 has 2 divisors, whose sum is σ = 2303312382. Its totient is φ = 2303312380.

The previous prime is 2303312317. The next prime is 2303312441. The reversal of 2303312381 is 1832133032.

2303312381 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., 2298339481 + 4972900 = 47941^2 + 2230^2 .

It is a cyclic number.

It is not a de Polignac number, because 2303312381 - 26 = 2303312317 is a prime.

It is a super-2 number, since 2×23033123812 = 10610495848935778322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2303312381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2303012381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1151656190 + 1151656191.

It is an arithmetic number, because the mean of its divisors is an integer number (1151656191).

Almost surely, 22303312381 is an apocalyptic number.

It is an amenable number.

2303312381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2303312381 is an equidigital number, since it uses as much as digits as its factorization.

2303312381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2303312381 is about 47992.8367675844. The cubic root of 2303312381 is about 1320.6394936654.

The spelling of 2303312381 in words is "two billion, three hundred three million, three hundred twelve thousand, three hundred eighty-one".