Search a number
-
+
10004223300 = 22352241138371
BaseRepresentation
bin10010101000100110…
…00101010101000100
3221211012201012101220
421110103011111010
5130442040121200
64332413120340
7502625331531
oct112423052504
927735635356
1010004223300
11427413a045
121b324890b0
13c35838876
146ac941d88
153d84444a0
hex2544c5544

10004223300 has 72 divisors (see below), whose sum is σ = 29065868832. Its totient is φ = 2656704000.

The previous prime is 10004223287. The next prime is 10004223319. The reversal of 10004223300 is 332240001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10004223300.

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, 3115 + ... + 141485.

Almost surely, 210004223300 is an apocalyptic number.

10004223300 is a gapful number since it is divisible by the number (10) 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 10004223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532934416).

10004223300 is an abundant number, since it is smaller than the sum of its proper divisors (19061645532).

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

10004223300 is a wasteful number, since it uses less digits than its factorization.

10004223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138629 (or 138622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10004223300 its reverse (332240001), we get a palindrome (10336463301).

The spelling of 10004223300 in words is "ten billion, four million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 241 300 482 723 964 1205 1446 2410 2892 3615 4820 6025 7230 12050 14460 18075 24100 36150 72300 138371 276742 415113 553484 691855 830226 1383710 1660452 2075565 2767420 3459275 4151130 6918550 8302260 10377825 13837100 20755650 33347411 41511300 66694822 100042233 133389644 166737055 200084466 333474110 400168932 500211165 666948220 833685275 1000422330 1667370550 2000844660 2501055825 3334741100 5002111650 10004223300