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2300304253 = 1331103151367
BaseRepresentation
bin1000100100011011…
…1101101101111101
312221022102120012211
42021012331231331
514202334214003
61020131300421
7111001156252
oct21106755575
95838376184
102300304253
11a805096a5
1254244a711
132a87507a0
1417b70b429
15d6e3196d
hex891bdb7d

2300304253 has 32 divisors (see below), whose sum is σ = 2606170112. Its totient is φ = 2015928000.

The previous prime is 2300304229. The next prime is 2300304277. The reversal of 2300304253 is 3524030032.

It is an interprime number because it is at equal distance from previous prime (2300304229) and next prime (2300304277).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2300304253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300304283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6267676 + ... + 6268042.

It is an arithmetic number, because the mean of its divisors is an integer number (81442816).

Almost surely, 22300304253 is an apocalyptic number.

It is an amenable number.

2300304253 is a deficient number, since it is larger than the sum of its proper divisors (305865859).

2300304253 is a wasteful number, since it uses less digits than its factorization.

2300304253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665.

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 2300304253 is about 47961.4871850321. The cubic root of 2300304253 is about 1320.0643244212.

Adding to 2300304253 its reverse (3524030032), we get a palindrome (5824334285).

The spelling of 2300304253 in words is "two billion, three hundred million, three hundred four thousand, two hundred fifty-three".

Divisors: 1 13 31 103 151 367 403 1339 1963 3193 4681 4771 11377 15553 37801 41509 55417 60853 147901 202189 482143 491413 720421 1171831 1717927 5707951 6267859 15233803 22333051 74203363 176946481 2300304253