Search a number
-
+
212204113000 = 23531121753753
BaseRepresentation
bin1100010110100001011…
…0011100110001101000
3202021201212110212020121
43011220112130301220
511434043223104000
6241252450333024
721221421125245
oct3055026346150
9667655425217
10212204113000
1181aa4764a00
123516288a174
131701a84b109
14a3b0c725cc
1557beab2b1a
hex316859cc68

212204113000 has 96 divisors (see below), whose sum is σ = 545803319880. Its totient is φ = 77165088000.

The previous prime is 212204112997. The next prime is 212204113019. The reversal of 212204113000 is 311402212.

It can be written as a sum of positive squares in 4 ways, for example, as 72476177796 + 139727935204 = 269214^2 + 373802^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755877 + ... + 997876.

Almost surely, 2212204113000 is an apocalyptic number.

212204113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212204113000 is an abundant number, since it is smaller than the sum of its proper divisors (333599206880).

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

212204113000 is a wasteful number, since it uses less digits than its factorization.

212204113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753796 (or 1753771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212204113000 its reverse (311402212), we get a palindrome (212515515212).

The spelling of 212204113000 in words is "two hundred twelve billion, two hundred four million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 1753753 3507506 7015012 8768765 14030024 17537530 19291283 35075060 38582566 43843825 70150120 77165132 87687650 96456415 154330264 175375300 192912830 212204113 219219125 350750600 385825660 424408226 438438250 482282075 771651320 848816452 876876500 964564150 1061020565 1697632904 1753753000 1929128300 2122041130 2411410375 3858256600 4244082260 4822820750 5305102825 8488164520 9645641500 10610205650 19291283000 21220411300 26525514125 42440822600 53051028250 106102056500 212204113000