Search a number
-
+
303222100000 = 255513722133
BaseRepresentation
bin1000110100110010111…
…00100001000000100000
31001222200001212200000011
410122121130201000200
514431444324200000
6351144233534304
730623061216031
oct4323134410040
91058601780004
10303222100000
11107660a74766
124a924574394
1322794537661
1410967040a88
157d4a4c52ba
hex4699721020

303222100000 has 144 divisors (see below), whose sum is σ = 751643282376. Its totient is φ = 120398080000.

The previous prime is 303222099997. The next prime is 303222100019. The reversal of 303222100000 is 1222303.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 129222994576 + 173999105424 = 359476^2 + 417132^2 .

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 23 ways as a sum of consecutive naturals, for example, 13688934 + ... + 13711066.

Almost surely, 2303222100000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375821641188).

303222100000 is an abundant number, since it is smaller than the sum of its proper divisors (448421182376).

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

303222100000 is an equidigital number, since it uses as much as digits as its factorization.

303222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22305 (or 22277 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 303222100000 its reverse (1222303), we get a palindrome (303223322303).

The spelling of 303222100000 in words is "three hundred three billion, two hundred twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 137 160 200 250 274 400 500 548 625 685 800 1000 1096 1250 1370 2000 2192 2500 2740 3125 3425 4000 4384 5000 5480 6250 6850 10000 10960 12500 13700 17125 20000 21920 22133 25000 27400 34250 44266 50000 54800 68500 85625 88532 100000 109600 110665 137000 171250 177064 221330 274000 342500 354128 428125 442660 548000 553325 685000 708256 856250 885320 1106650 1370000 1712500 1770640 2213300 2740000 2766625 3032221 3425000 3541280 4426600 5533250 6064442 6850000 8853200 11066500 12128884 13700000 13833125 15161105 17706400 22133000 24257768 27666250 30322210 44266000 48515536 55332500 60644420 69165625 75805525 88532000 97031072 110665000 121288840 138331250 151611050 221330000 242577680 276662500 303222100 379027625 442660000 485155360 553325000 606444200 758055250 1106650000 1212888400 1516110500 1895138125 2213300000 2425776800 3032221000 3790276250 6064442000 7580552500 9475690625 12128884000 15161105000 18951381250 30322210000 37902762500 60644420000 75805525000 151611050000 303222100000