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1001530000 = 2454100153
BaseRepresentation
bin111011101100100…
…010001010010000
32120210112222212201
4323230202022100
54022342430000
6243214132544
733550602352
oct7354421220
92523488781
101001530000
11474379349
1223b4b1154
1312c654703
14970290d2
155cdd496a
hex3bb22290

1001530000 has 50 divisors (see below), whose sum is σ = 2424828494. Its totient is φ = 400608000.

The previous prime is 1001529973. The next prime is 1001530007. The reversal of 1001530000 is 351001.

It can be written as a sum of positive squares in 5 ways, for example, as 191102976 + 810427024 = 13824^2 + 28468^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1001530007) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 40077 + ... + 60076.

Almost surely, 21001530000 is an apocalyptic number.

1001530000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001530000 is an abundant number, since it is smaller than the sum of its proper divisors (1423298494).

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

1001530000 is an equidigital number, since it uses as much as digits as its factorization.

1001530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100181 (or 100160 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 1001530000 is about 31646.9587796363. The cubic root of 1001530000 is about 1000.5097401209.

Adding to 1001530000 its reverse (351001), we get a palindrome (1001881001).

The spelling of 1001530000 in words is "one billion, one million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 100153 200306 400612 500765 801224 1001530 1602448 2003060 2503825 4006120 5007650 8012240 10015300 12519125 20030600 25038250 40061200 50076500 62595625 100153000 125191250 200306000 250382500 500765000 1001530000