Search a number
-
+
2000000020000 = 2554175882353
BaseRepresentation
bin11101000110101001010…
…010100110111000100000
321002012100102212212101211
4131012221102212320200
5230232000001120000
64130442021235504
7264331602450253
oct35065122467040
97065312785354
102000000020000
11701216964914
12283743b62b94
131167a35704c8
146cb2c89709a
1537057ed37ba
hex1d1a94a6e20

2000000020000 has 120 divisors (see below), whose sum is σ = 5209730349516. Its totient is φ = 752941056000.

The previous prime is 2000000019977. The next prime is 2000000020001. The reversal of 2000000020000 is 200000002.

It can be written as a sum of positive squares in 10 ways, for example, as 275958544 + 1999724061456 = 16612^2 + 1414116^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2000000020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2601177 + ... + 3281176.

Almost surely, 22000000020000 is an apocalyptic number.

2000000020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000000020000 is an abundant number, since it is smaller than the sum of its proper divisors (3209730329516).

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

2000000020000 is an equidigital number, since it uses as much as digits as its factorization.

2000000020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882400 (or 5882377 counting only the distinct ones).

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

Adding to 2000000020000 its reverse (200000002), we get a palindrome (2000200020002).

2000000020000 divided by its reverse (200000002) gives a 4-th power (10000 = 104).

The spelling of 2000000020000 in words is "two trillion, twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3400 4000 4250 5000 6800 8500 10000 10625 13600 17000 20000 21250 34000 42500 68000 85000 170000 340000 5882353 11764706 23529412 29411765 47058824 58823530 94117648 100000001 117647060 147058825 188235296 200000002 235294120 294117650 400000004 470588240 500000005 588235300 735294125 800000008 941176480 1000000010 1176470600 1470588250 1600000016 2000000020 2352941200 2500000025 2941176500 3200000032 3676470625 4000000040 4705882400 5000000050 5882353000 7352941250 8000000080 10000000100 11764706000 12500000125 14705882500 16000000160 20000000200 23529412000 25000000250 29411765000 40000000400 50000000500 58823530000 62500000625 80000000800 100000001000 117647060000 125000001250 200000002000 250000002500 400000004000 500000005000 1000000010000 2000000020000