Search a number
-
+
202012423012000 = 255350503105753
BaseRepresentation
bin101101111011101010101110…
…101101101011111010100000
3222111021012101002120022021001
4231323222232231223322200
5202434232420242341000
61553351120450441344
760356626106553466
oct5573525655537240
9874235332508231
10202012423012000
1159404a953789a7
121a7a743b893254
1388948c74c5713
1437c564c366836
151854c179e946a
hexb7baaeb6bea0

202012423012000 has 48 divisors (see below), whose sum is σ = 496344523350312. Its totient is φ = 80804969203200.

The previous prime is 202012423011967. The next prime is 202012423012009. The reversal of 202012423012000 is 210324210202.

202012423012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80687749508496 + 121324673503504 = 8982636^2 + 11014748^2 .

It is not an unprimeable number, because it can be changed into a prime (202012423012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25251548877 + ... + 25251556876.

Almost surely, 2202012423012000 is an apocalyptic number.

202012423012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012423012000 is an abundant number, since it is smaller than the sum of its proper divisors (294332100338312).

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

202012423012000 is an equidigital number, since it uses as much as digits as its factorization.

202012423012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50503105778 (or 50503105760 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 202012423012000 its reverse (210324210202), we get a palindrome (202222747222202).

The spelling of 202012423012000 in words is "two hundred two trillion, twelve billion, four hundred twenty-three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 50503105753 101006211506 202012423012 252515528765 404024846024 505031057530 808049692048 1010062115060 1262577643825 1616099384096 2020124230120 2525155287650 4040248460240 5050310575300 6312888219125 8080496920480 10100621150600 12625776438250 20201242301200 25251552876500 40402484602400 50503105753000 101006211506000 202012423012000