Search a number
-
+
203322122000 = 2453149682289
BaseRepresentation
bin1011110101011011110…
…0010101111100010000
3201102210212102222010222
42331112330111330100
511312400430401000
6233223242412212
720455340343614
oct2752674257420
9642725388128
10203322122000
1179257045678
12334a4201068
131623367873a
149bab3b9344
15544ee46a85
hex2f56f15f10

203322122000 has 80 divisors (see below), whose sum is σ = 494933166000. Its totient is φ = 80782899200.

The previous prime is 203322121997. The next prime is 203322122011. The reversal of 203322122000 is 221223302.

It can be written as a sum of positive squares in 8 ways, for example, as 123026965504 + 80295156496 = 350752^2 + 283364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 203322122000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43145 + ... + 639144.

It is an arithmetic number, because the mean of its divisors is an integer number (6186664575).

Almost surely, 2203322122000 is an apocalyptic number.

203322122000 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 203322122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247466583000).

203322122000 is an abundant number, since it is smaller than the sum of its proper divisors (291611044000).

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

203322122000 is a wasteful number, since it uses less digits than its factorization.

203322122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682461 (or 682445 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 203322122000 its reverse (221223302), we get a palindrome (203543345302).

The spelling of 203322122000 in words is "two hundred three billion, three hundred twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 149 200 250 298 400 500 596 745 1000 1192 1490 2000 2384 2980 3725 5960 7450 11920 14900 18625 29800 37250 59600 74500 149000 298000 682289 1364578 2729156 3411445 5458312 6822890 10916624 13645780 17057225 27291560 34114450 54583120 68228900 85286125 101661061 136457800 170572250 203322122 272915600 341144500 406644244 508305305 682289000 813288488 1016610610 1364578000 1626576976 2033221220 2541526525 4066442440 5083053050 8132884880 10166106100 12707632625 20332212200 25415265250 40664424400 50830530500 101661061000 203322122000