Search a number
-
+
1002313212200 = 23525011566061
BaseRepresentation
bin11101001010111101000…
…01011110000100101000
310112211010221010210001222
432211132201132010220
5112410214140242300
62044242322401212
7132262153505636
oct16453641360450
93484127123058
101002313212200
11357095750513
12142308800208
13736965b8661
1436725754356
151b114897785
hexe95e85e128

1002313212200 has 24 divisors (see below), whose sum is σ = 2330378218830. Its totient is φ = 400925284800.

The previous prime is 1002313212191. The next prime is 1002313212209. The reversal of 1002313212200 is 22123132001.

It is an interprime number because it is at equal distance from previous prime (1002313212191) and next prime (1002313212209).

It can be written as a sum of positive squares in 3 ways, for example, as 622997647204 + 379315564996 = 789302^2 + 615886^2 .

It is not an unprimeable number, because it can be changed into a prime (1002313212209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2505782831 + ... + 2505783230.

Almost surely, 21002313212200 is an apocalyptic number.

1002313212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002313212200 is an abundant number, since it is smaller than the sum of its proper divisors (1328065006630).

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

1002313212200 is a wasteful number, since it uses less digits than its factorization.

1002313212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011566077 (or 5011566068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1002313212200 its reverse (22123132001), we get a palindrome (1024436344201).

The spelling of 1002313212200 in words is "one trillion, two billion, three hundred thirteen million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5011566061 10023132122 20046264244 25057830305 40092528488 50115660610 100231321220 125289151525 200462642440 250578303050 501156606100 1002313212200