Search a number
-
+
2134102300 = 2252112577549
BaseRepresentation
bin111111100110011…
…1101000100011100
312111201200121222221
41333030331010130
513332312233200
6551433115124
7103612366411
oct17714750434
95451617887
102134102300
119a5710710
124b6858aa4
1328019b135
14163606108
15c755191a
hex7f33d11c

2134102300 has 72 divisors (see below), whose sum is σ = 5072331600. Its totient is φ = 772915200.

The previous prime is 2134102297. The next prime is 2134102301. The reversal of 2134102300 is 32014312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134102301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278926 + ... + 286474.

It is an arithmetic number, because the mean of its divisors is an integer number (70449050).

Almost surely, 22134102300 is an apocalyptic number.

2134102300 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 2134102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536165800).

2134102300 is an abundant number, since it is smaller than the sum of its proper divisors (2938229300).

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

2134102300 is a wasteful number, since it uses less digits than its factorization.

2134102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831 (or 7824 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2134102300 is about 46196.3450935244. The cubic root of 2134102300 is about 1287.4738336342.

Adding to 2134102300 its reverse (32014312), we get a palindrome (2166116612).

The spelling of 2134102300 in words is "two billion, one hundred thirty-four million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 257 275 514 550 1028 1100 1285 2570 2827 5140 5654 6425 7549 11308 12850 14135 15098 25700 28270 30196 37745 56540 70675 75490 83039 141350 150980 166078 188725 282700 332156 377450 415195 754900 830390 1660780 1940093 2075975 3880186 4151950 7760372 8303900 9700465 19400930 21341023 38801860 42682046 48502325 85364092 97004650 106705115 194009300 213410230 426820460 533525575 1067051150 2134102300