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2011000000 = 26562011
BaseRepresentation
bin111011111011101…
…0110110011000000
312012011001101101111
41313313112303000
513104304000000
6531314413104
7100556134522
oct16767266300
95164041344
102011000000
11942180079
12481591194
13260829139
1415111da12
15bb836cba
hex77dd6cc0

2011000000 has 98 divisors (see below), whose sum is σ = 4990639244. Its totient is φ = 804000000.

The previous prime is 2010999979. The next prime is 2011000001. The reversal of 2011000000 is 1102.

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 (2011000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 998995 + ... + 1001005.

Almost surely, 22011000000 is an apocalyptic number.

2011000000 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 2011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495319622).

2011000000 is an abundant number, since it is smaller than the sum of its proper divisors (2979639244).

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

2011000000 is an frugal number, since it uses more digits than its factorization.

2011000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2018 counting only the distinct ones).

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

The square root of 2011000000 is about 44844.1746495573. The cubic root of 2011000000 is about 1262.2266833106.

Adding to 2011000000 its reverse (1102), we get a palindrome (2011001102).

The spelling of 2011000000 in words is "two billion, eleven million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2011 2500 3125 4000 4022 5000 6250 8000 8044 10000 10055 12500 15625 16088 20000 20110 25000 31250 32176 40000 40220 50000 50275 62500 64352 80440 100000 100550 125000 128704 160880 200000 201100 250000 251375 321760 402200 500000 502750 643520 804400 1000000 1005500 1256875 1608800 2011000 2513750 3217600 4022000 5027500 6284375 8044000 10055000 12568750 16088000 20110000 25137500 31421875 40220000 50275000 62843750 80440000 100550000 125687500 201100000 251375000 402200000 502750000 1005500000 2011000000