Search a number
-
+
212011323100 = 225217731708391
BaseRepresentation
bin1100010101110011011…
…1000000111011011100
3202021020102201010012221
43011130313000323130
511433144344314400
6241221402235124
721213560340463
oct3053467007334
9667212633187
10212011323100
1181a05957005
123510a1b5aa4
1316cb9919855
14a3934099da
1557acbcec1a
hex315cdc0edc

212011323100 has 72 divisors (see below), whose sum is σ = 493800457248. Its totient is φ = 78722611200.

The previous prime is 212011323059. The next prime is 212011323113. The reversal of 212011323100 is 1323110212.

It is a super-2 number, since 2×2120113231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730096 + ... + 978295.

It is an arithmetic number, because the mean of its divisors is an integer number (6858339684).

Almost surely, 2212011323100 is an apocalyptic number.

212011323100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011323100 is an abundant number, since it is smaller than the sum of its proper divisors (281789134148).

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

212011323100 is a wasteful number, since it uses less digits than its factorization.

212011323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708495 (or 1708488 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212011323100 its reverse (1323110212), we get a palindrome (213334433312).

The spelling of 212011323100 in words is "two hundred twelve billion, eleven million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 100 146 170 292 340 365 425 730 850 1241 1460 1700 1825 2482 3650 4964 6205 7300 12410 24820 31025 62050 124100 1708391 3416782 6833564 8541955 17083910 29042647 34167820 42709775 58085294 85419550 116170588 124712543 145213235 170839100 249425086 290426470 498850172 580852940 623562715 726066175 1247125430 1452132350 2120113231 2494250860 2904264700 3117813575 4240226462 6235627150 8480452924 10600566155 12471254300 21201132310 42402264620 53002830775 106005661550 212011323100