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2300011311 = 313173469097
BaseRepresentation
bin1000100100010111…
…0110001100101111
312221021212200101010
42021011312030233
514202300330221
61020121120303
7110665526223
oct21105661457
95837780333
102300011311
11a803295a4
12542329093
132a867a350
1417b672783
15d6dc4c76
hex8917632f

2300011311 has 16 divisors (see below), whose sum is σ = 3496850784. Its totient is φ = 1332132864.

The previous prime is 2300011297. The next prime is 2300011393. The reversal of 2300011311 is 1131100032.

2300011311 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2300011311 - 29 = 2300010799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300012311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1733886 + ... + 1735211.

It is an arithmetic number, because the mean of its divisors is an integer number (218553174).

Almost surely, 22300011311 is an apocalyptic number.

2300011311 is a deficient number, since it is larger than the sum of its proper divisors (1196839473).

2300011311 is a wasteful number, since it uses less digits than its factorization.

2300011311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469130.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2300011311 is about 47958.4331583091. The cubic root of 2300011311 is about 1320.0082856459.

Adding to 2300011311 its reverse (1131100032), we get a palindrome (3431111343).

The spelling of 2300011311 in words is "two billion, three hundred million, eleven thousand, three hundred eleven".

Divisors: 1 3 13 17 39 51 221 663 3469097 10407291 45098261 58974649 135294783 176923947 766670437 2300011311