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1200010000 = 2454723179
BaseRepresentation
bin100011110000110…
…1011001100010000
310002122000211020211
41013201223030100
54424200310000
6315024213504
741510626300
oct10741531420
93078024224
101200010000
11566413302
12295a6a294
131617c8bb7
14b5533600
157053d7ba
hex4786b310

1200010000 has 300 divisors, whose sum is σ = 3532869120. Its totient is φ = 393120000.

The previous prime is 1200009997. The next prime is 1200010001. The reversal of 1200010000 is 100021.

1200010000 = T56 + T57 + ... + T1930.

1200010000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (1200010001) 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 59 ways as a sum of consecutive naturals, for example, 15189961 + ... + 15190039.

Almost surely, 21200010000 is an apocalyptic number.

1200010000 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 1200010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766434560).

1200010000 is an abundant number, since it is smaller than the sum of its proper divisors (2332859120).

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

1200010000 is an equidigital number, since it uses as much as digits as its factorization.

1200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1200010000 is about 34641.1604886441. The cubic root of 1200010000 is about 1062.6615210038.

Adding to 1200010000 its reverse (100021), we get a palindrome (1200110021).

The spelling of 1200010000 in words is "one billion, two hundred million, ten thousand".