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2300020020 = 2232512777889
BaseRepresentation
bin1000100100010111…
…1000010100110100
312221021220010022200
42021011320110310
514202301120040
61020121224500
7110665563504
oct21105702464
95837803280
102300020020
11a803350a1
12542332130
132a86812bc
1417b675a04
15d6dc7630
hex89178534

2300020020 has 36 divisors (see below), whose sum is σ = 6976727940. Its totient is φ = 613338624.

The previous prime is 2300020007. The next prime is 2300020039. The reversal of 2300020020 is 200200032.

It can be written as a sum of positive squares in 2 ways, for example, as 1358512164 + 941507856 = 36858^2 + 30684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

2300020020 is a modest number, since divided by 20020 gives 2300 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2300019984 and 2300020011.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6388765 + ... + 6389124.

Almost surely, 22300020020 is an apocalyptic number.

2300020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300020020 is an abundant number, since it is smaller than the sum of its proper divisors (4676707920).

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

2300020020 is a wasteful number, since it uses less digits than its factorization.

2300020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777904 (or 12777899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2300020020 is about 47958.5239556015. The cubic root of 2300020020 is about 1320.0099517156.

Adding to 2300020020 its reverse (200200032), we get a palindrome (2500220052).

The spelling of 2300020020 in words is "two billion, three hundred million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12777889 25555778 38333667 51111556 63889445 76667334 115001001 127778890 153334668 191668335 230002002 255557780 383336670 460004004 575005005 766673340 1150010010 2300020020