Search a number
-
+
2320130100 = 2235215151217
BaseRepresentation
bin1000101001001010…
…0110000000110100
312222200201211011110
42022102212000310
514222423130400
61022120235020
7111331531461
oct21222460064
95880654143
102320130100
11a907200a2
1254900ba70
132ac8a2862
141801cc668
15d8a4ae50
hex8a4a6034

2320130100 has 72 divisors (see below), whose sum is σ = 6757498048. Its totient is φ = 614592000.

The previous prime is 2320130093. The next prime is 2320130149. The reversal of 2320130100 is 10310232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19692 + ... + 70908.

Almost surely, 22320130100 is an apocalyptic number.

2320130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378749024).

2320130100 is an abundant number, since it is smaller than the sum of its proper divisors (4437367948).

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

2320130100 is a wasteful number, since it uses less digits than its factorization.

2320130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51385 (or 51378 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2320130100 is about 48167.7288233523. The cubic root of 2320130100 is about 1323.8459347083.

Adding to 2320130100 its reverse (10310232), we get a palindrome (2330440332).

It can be divided in two parts, 23201 and 30100, that added together give a triangular number (53301 = T326).

The spelling of 2320130100 in words is "two billion, three hundred twenty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 453 604 755 906 1510 1812 2265 3020 3775 4530 7550 9060 11325 15100 22650 45300 51217 102434 153651 204868 256085 307302 512170 614604 768255 1024340 1280425 1536510 2560850 3073020 3841275 5121700 7682550 7733767 15365100 15467534 23201301 30935068 38668835 46402602 77337670 92805204 116006505 154675340 193344175 232013010 386688350 464026020 580032525 773376700 1160065050 2320130100