Search a number
-
+
2320100100 = 2232522577889
BaseRepresentation
bin1000101001001001…
…1110101100000100
312222200200022000100
42022102132230010
514222421200400
61022115444100
7111331345143
oct21222365404
95880608010
102320100100
11a906aa5aa
12548bb6630
132ac891cc6
141801c175a
15d8a42100
hex8a49eb04

2320100100 has 54 divisors (see below), whose sum is σ = 7272227690. Its totient is φ = 618693120.

The previous prime is 2320100093. The next prime is 2320100113. The reversal of 2320100100 is 10010232.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6874884 + 2313225216 = 2622^2 + 48096^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 17 ways as a sum of consecutive naturals, for example, 1288045 + ... + 1289844.

Almost surely, 22320100100 is an apocalyptic number.

2320100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2320100100 is an abundant number, since it is smaller than the sum of its proper divisors (4952127590).

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

2320100100 is a wasteful number, since it uses less digits than its factorization.

2320100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577909 (or 2577899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2320100100 is about 48167.4174105276. The cubic root of 2320100100 is about 1323.8402287712.

Adding to 2320100100 its reverse (10010232), we get a palindrome (2330110332).

The spelling of 2320100100 in words is "two billion, three hundred twenty million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2577889 5155778 7733667 10311556 12889445 15467334 23201001 25778890 30934668 38668335 46402002 51557780 64447225 77336670 92804004 116005005 128894450 154673340 193341675 232010010 257788900 386683350 464020020 580025025 773366700 1160050050 2320100100