Search a number
-
+
2000102300 = 2252713812069
BaseRepresentation
bin111011100110111…
…0010001110011100
312011101112201112222
41313031302032130
513044011233200
6530245044512
7100364406020
oct16715621634
95141481488
102000102300
11937007509
124799b6738
1325b4b1ab1
1414d8c4380
15ba8d2d85
hex7737239c

2000102300 has 72 divisors (see below), whose sum is σ = 4966244640. Its totient is φ = 684921600.

The previous prime is 2000102233. The next prime is 2000102323. The reversal of 2000102300 is 32010002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 965666 + ... + 967734.

It is an arithmetic number, because the mean of its divisors is an integer number (68975620).

Almost surely, 22000102300 is an apocalyptic number.

2000102300 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 2000102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483122320).

2000102300 is an abundant number, since it is smaller than the sum of its proper divisors (2966142340).

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

2000102300 is a wasteful number, since it uses less digits than its factorization.

2000102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2000102300 is about 44722.5032841410. The cubic root of 2000102300 is about 1259.9425311825.

Adding to 2000102300 its reverse (32010002), we get a palindrome (2032112302).

The spelling of 2000102300 in words is "two billion, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1381 2069 2762 4138 5524 6905 8276 9667 10345 13810 14483 19334 20690 27620 28966 34525 38668 41380 48335 51725 57932 69050 72415 96670 103450 138100 144830 193340 206900 241675 289660 362075 483350 724150 966700 1448300 2857289 5714578 11429156 14286445 20001023 28572890 40002046 57145780 71432225 80004092 100005115 142864450 200010230 285728900 400020460 500025575 1000051150 2000102300