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2301330100 = 225271324131
BaseRepresentation
bin1000100100101011…
…1000001010110100
312221101100200102011
42021022320022310
514203120030400
61020205254004
7111012661126
oct21112701264
95841320364
102301330100
11a8104a403
12542864304
132a8a1c6b4
1417b8d7216
15d70858ba
hex892b82b4

2301330100 has 36 divisors (see below), whose sum is σ = 5064238368. Its totient is φ = 907564000.

The previous prime is 2301330091. The next prime is 2301330121. The reversal of 2301330100 is 10331032.

It is a super-2 number, since 2×23013301002 = 10592240458332020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154966 + ... + 169165.

It is an arithmetic number, because the mean of its divisors is an integer number (140673288).

Almost surely, 22301330100 is an apocalyptic number.

2301330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301330100 is an abundant number, since it is smaller than the sum of its proper divisors (2762908268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2301330100 is a wasteful number, since it uses less digits than its factorization.

2301330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324216 (or 324209 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2301330100 is about 47972.1804799407. The cubic root of 2301330100 is about 1320.2605278540.

Adding to 2301330100 its reverse (10331032), we get a palindrome (2311661132).

The spelling of 2301330100 in words is "two billion, three hundred one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 324131 648262 1296524 1620655 3241310 6482620 8103275 16206550 23013301 32413100 46026602 92053204 115066505 230133010 460266020 575332525 1150665050 2301330100