Search a number
-
+
213001302440300 = 2252111031879976191
BaseRepresentation
bin110000011011100100111010…
…111101111111100101101100
31000221011201120222220102001112
4300123210322331333211230
5210404303131411042200
62033003240353531152
762602556560542233
oct6033447275774554
91027151528812045
10213001302440300
1161961388327790
121ba810b5273ab8
1391b0c23a27c1a
143a85464a03b1a
1519959bcc49535
hexc1b93af7f96c

213001302440300 has 72 divisors (see below), whose sum is σ = 509127632412672. Its totient is φ = 76703028552000.

The previous prime is 213001302440279. The next prime is 213001302440327. The reversal of 213001302440300 is 3044203100312.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 939874796 + ... + 940101395.

Almost surely, 2213001302440300 is an apocalyptic number.

213001302440300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001302440300 is an abundant number, since it is smaller than the sum of its proper divisors (296126329972372).

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

213001302440300 is a wasteful number, since it uses less digits than its factorization.

213001302440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879976319 (or 1879976312 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 213001302440300 its reverse (3044203100312), we get a palindrome (216045505540612).

The spelling of 213001302440300 in words is "two hundred thirteen trillion, one billion, three hundred two million, four hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 2060 2266 2575 4532 5150 5665 10300 11330 22660 28325 56650 113300 1879976191 3759952382 7519904764 9399880955 18799761910 20679738101 37599523820 41359476202 46999404775 82718952404 93998809550 103398690505 187997619100 193637547673 206797381010 387275095346 413594762020 516993452525 774550190692 968187738365 1033986905050 1936375476730 2067973810100 2130013024403 3872750953460 4260026048806 4840938691825 8520052097612 9681877383650 10650065122015 19363754767300 21300130244030 42600260488060 53250325610075 106500651220150 213001302440300