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1019300000 = 255510193
BaseRepresentation
bin111100110000010…
…100100010100000
32122000222210201212
4330300110202200
54041420100000
6245051045252
734154623055
oct7460244240
92560883655
101019300000
114834061a4
12245440828
13133236ac4
149953302c
155e744c35
hex3cc148a0

1019300000 has 72 divisors (see below), whose sum is σ = 2508519132. Its totient is φ = 407680000.

The previous prime is 1019299999. The next prime is 1019300017. The reversal of 1019300000 is 39101.

It can be written as a sum of positive squares in 6 ways, for example, as 59043856 + 960256144 = 7684^2 + 30988^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94904 + ... + 105096.

Almost surely, 21019300000 is an apocalyptic number.

1019300000 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 1019300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254259566).

1019300000 is an abundant number, since it is smaller than the sum of its proper divisors (1489219132).

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

1019300000 is an frugal number, since it uses more digits than its factorization.

1019300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1019300000 is about 31926.4780393955. The cubic root of 1019300000 is about 1006.3923836943.

Adding to 1019300000 its reverse (39101), we get a palindrome (1019339101).

The spelling of 1019300000 in words is "one billion, nineteen million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 10193 12500 20000 20386 25000 40772 50000 50965 81544 100000 101930 163088 203860 254825 326176 407720 509650 815440 1019300 1274125 1630880 2038600 2548250 4077200 5096500 6370625 8154400 10193000 12741250 20386000 25482500 31853125 40772000 50965000 63706250 101930000 127412500 203860000 254825000 509650000 1019300000