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1100450000 = 2455131693
BaseRepresentation
bin100000110010111…
…1000100011010000
32211200200122121102
41001211320203100
54223203400000
6301110243532
736161446016
oct10145704320
92750618542
101100450000
115151a2411
122686565a8
13146caa760
14a62188b6
15669243d5
hex419788d0

1100450000 has 120 divisors (see below), whose sum is σ = 2871675576. Its totient is φ = 406080000.

The previous prime is 1100449969. The next prime is 1100450003. The reversal of 1100450000 is 540011.

It can be written as a sum of positive squares in 12 ways, for example, as 1049241664 + 51208336 = 32392^2 + 7156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100450003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649154 + ... + 650846.

Almost surely, 21100450000 is an apocalyptic number.

1100450000 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 1100450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435837788).

1100450000 is an abundant number, since it is smaller than the sum of its proper divisors (1771225576).

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

1100450000 is an equidigital number, since it uses as much as digits as its factorization.

1100450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1100450000 is about 33173.0312151302. The cubic root of 1100450000 is about 1032.4208617357.

Adding to 1100450000 its reverse (540011), we get a palindrome (1100990011).

The spelling of 1100450000 in words is "one billion, one hundred million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 1693 2000 2500 2600 3125 3250 3386 5000 5200 6250 6500 6772 8125 8465 10000 12500 13000 13544 16250 16930 22009 25000 26000 27088 32500 33860 40625 42325 44018 50000 65000 67720 81250 84650 88036 110045 130000 135440 162500 169300 176072 211625 220090 325000 338600 352144 423250 440180 550225 650000 677200 846500 880360 1058125 1100450 1693000 1760720 2116250 2200900 2751125 3386000 4232500 4401800 5290625 5502250 8465000 8803600 10581250 11004500 13755625 16930000 21162500 22009000 27511250 42325000 44018000 55022500 68778125 84650000 110045000 137556250 220090000 275112500 550225000 1100450000