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11442000300 = 22352255114951
BaseRepresentation
bin10101010011111111…
…10001000110101100
31002112102010211122220
422221333301012230
5141413123002200
65131213435340
7553354253313
oct125177610654
932472124586
1011442000300
1149417901a5
122273a9bb50
1311046830a3
147a788927a
1546e79c4a0
hex2a9ff11ac

11442000300 has 72 divisors (see below), whose sum is σ = 33120713472. Its totient is φ = 3049800000.

The previous prime is 11442000299. The next prime is 11442000329. The reversal of 11442000300 is 300024411.

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 11442000300.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 757825 + ... + 772775.

Almost surely, 211442000300 is an apocalyptic number.

11442000300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442000300 is an abundant number, since it is smaller than the sum of its proper divisors (21678713172).

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

11442000300 is a wasteful number, since it uses less digits than its factorization.

11442000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17519 (or 17512 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11442000300 its reverse (300024411), we get a palindrome (11742024711).

The spelling of 11442000300 in words is "eleven billion, four hundred forty-two million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2551 5102 7653 10204 12755 14951 15306 25510 29902 30612 38265 44853 51020 59804 63775 74755 76530 89706 127550 149510 153060 179412 191325 224265 255100 299020 373775 382650 448530 747550 765300 897060 1121325 1495100 2242650 4485300 38140001 76280002 114420003 152560004 190700005 228840006 381400010 457680012 572100015 762800020 953500025 1144200030 1907000050 2288400060 2860500075 3814000100 5721000150 11442000300