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1200130000 = 2454432791
BaseRepresentation
bin100011110001000…
…1000011111010000
310002122020220212021
41013202020133100
54424213130000
6315030541224
741511636166
oct10742103720
93078226767
101200130000
11566495483
12295b07814
1316183b6c4
14b5565236
157056411a
hex478887d0

1200130000 has 100 divisors (see below), whose sum is σ = 2974272928. Its totient is φ = 468720000.

The previous prime is 1200129989. The next prime is 1200130021. The reversal of 1200130000 is 310021.

1200130000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 428605 + ... + 431395.

Almost surely, 21200130000 is an apocalyptic number.

1200130000 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 1200130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487136464).

1200130000 is an abundant number, since it is smaller than the sum of its proper divisors (1774142928).

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

1200130000 is an equidigital number, since it uses as much as digits as its factorization.

1200130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1200130000 is about 34642.8924889363. The cubic root of 1200130000 is about 1062.6969415786.

Adding to 1200130000 its reverse (310021), we get a palindrome (1200440021).

The spelling of 1200130000 in words is "one billion, two hundred million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 2000 2150 2500 2791 3440 4300 5000 5375 5582 8600 10000 10750 11164 13955 17200 21500 22328 26875 27910 43000 44656 53750 55820 69775 86000 107500 111640 120013 139550 215000 223280 240026 279100 348875 430000 480052 558200 600065 697750 960104 1116400 1200130 1395500 1744375 1920208 2400260 2791000 3000325 3488750 4800520 5582000 6000650 6977500 9601040 12001300 13955000 15001625 24002600 27910000 30003250 48005200 60006500 75008125 120013000 150016250 240026000 300032500 600065000 1200130000