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2300313231 = 321779190313
BaseRepresentation
bin1000100100011011…
…1111111010001111
312221022110000112100
42021012333322033
514202340010411
61020131410143
7111001224366
oct21106777217
95838400470
102300313231
11a80515417
12542453953
132a87548b8
1417b7107dd
15d6e34456
hex891bfe8f

2300313231 has 24 divisors (see below), whose sum is σ = 3562678080. Its totient is φ = 1425056256.

The previous prime is 2300313229. The next prime is 2300313259. The reversal of 2300313231 is 1323130032.

It is not a de Polignac number, because 2300313231 - 21 = 2300313229 is a prime.

It is a super-2 number, since 2×23003132312 = 10582881921427318722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300313221) 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 23 ways as a sum of consecutive naturals, for example, 83070 + ... + 107243.

It is an arithmetic number, because the mean of its divisors is an integer number (148444920).

Almost surely, 22300313231 is an apocalyptic number.

2300313231 is a deficient number, since it is larger than the sum of its proper divisors (1262364849).

2300313231 is a wasteful number, since it uses less digits than its factorization.

2300313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190415 (or 190412 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2300313231 is about 47961.5807808708. The cubic root of 2300313231 is about 1320.0660418060.

Adding to 2300313231 its reverse (1323130032), we get a palindrome (3623443263).

The spelling of 2300313231 in words is "two billion, three hundred million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 17 51 79 153 237 711 1343 4029 12087 190313 570939 1712817 3235321 9705963 15034727 29117889 45104181 135312543 255590359 766771077 2300313231