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2011004000 = 2553717397
BaseRepresentation
bin111011111011101…
…0111110001100000
312012011001120212122
41313313113301200
513104304112000
6531314443412
7100556152265
oct16767276140
95164046778
102011004000
11942183085
12481593568
1326082abc5
1415112126c
15bb838085
hex77dd7c60

2011004000 has 192 divisors, whose sum is σ = 5131631232. Its totient is φ = 774144000.

The previous prime is 2011003997. The next prime is 2011004003. The reversal of 2011004000 is 4001102.

It is an interprime number because it is at equal distance from previous prime (2011003997) and next prime (2011004003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011004003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20731952 + ... + 20732048.

It is an arithmetic number, because the mean of its divisors is an integer number (26727246).

Almost surely, 22011004000 is an apocalyptic number.

2011004000 is a gapful number since it is divisible by the number (20) 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 2011004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565815616).

2011004000 is an abundant number, since it is smaller than the sum of its proper divisors (3120627232).

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

2011004000 is an equidigital number, since it uses as much as digits as its factorization.

2011004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2011004000 is about 44844.2192484160. The cubic root of 2011004000 is about 1262.2275201916.

Adding to 2011004000 its reverse (4001102), we get a palindrome (2015005102).

The spelling of 2011004000 in words is "two billion, eleven million, four thousand".