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2010000100 = 2252171182353
BaseRepresentation
bin111011111001110…
…0010101011100100
312012002011120210011
41313303202223210
513104030000400
6531241140004
7100544501413
oct16763425344
95162146704
102010000100
11941657909
1248118a604
13260568c94
14150d3d47a
15bb6da8ba
hex77ce2ae4

2010000100 has 36 divisors (see below), whose sum is σ = 4618274724. Its totient is φ = 756705280.

The previous prime is 2010000089. The next prime is 2010000133. The reversal of 2010000100 is 10000102.

It can be written as a sum of positive squares in 6 ways, for example, as 266603584 + 1743396516 = 16328^2 + 41754^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2010000100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589477 + ... + 592876.

It is an arithmetic number, because the mean of its divisors is an integer number (128285409).

Almost surely, 22010000100 is an apocalyptic number.

2010000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010000100 is an abundant number, since it is smaller than the sum of its proper divisors (2608274624).

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

2010000100 is a wasteful number, since it uses less digits than its factorization.

2010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182384 (or 1182377 counting only the distinct ones).

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

The square root of 2010000100 is about 44833.0246581691. The cubic root of 2010000100 is about 1262.0174491490.

Adding to 2010000100 its reverse (10000102), we get a palindrome (2020000202).

The spelling of 2010000100 in words is "two billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1182353 2364706 4729412 5911765 11823530 20100001 23647060 29558825 40200002 59117650 80400004 100500005 118235300 201000010 402000020 502500025 1005000050 2010000100