Search a number
-
+
211212012021200 = 2452836361807591
BaseRepresentation
bin110000000001100010100000…
…111100101110010111010000
31000200211200010021022022201022
4300001202200330232113100
5210140444200034134300
62025113243034255012
762326364361120131
oct6001424074562720
91020750107268638
10211212012021200
1161331569555803
121b832377587468
1390b12904b5448
143a22a04707c88
151964198515285
hexc018a0f2e5d0

211212012021200 has 60 divisors (see below), whose sum is σ = 513550556056608. Its totient is φ = 83466915580800.

The previous prime is 211212012021121. The next prime is 211212012021217. The reversal of 211212012021200 is 2120210212112.

It is a super-2 number, since 2×2112120120212002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3180870596 + ... + 3180936995.

Almost surely, 2211212012021200 is an apocalyptic number.

211212012021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212012021200 is an abundant number, since it is smaller than the sum of its proper divisors (302338544035408).

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

211212012021200 is a wasteful number, since it uses less digits than its factorization.

211212012021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361807692 (or 6361807681 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211212012021200 its reverse (2120210212112), we get a palindrome (213332222233312).

The spelling of 211212012021200 in words is "two hundred eleven trillion, two hundred twelve billion, twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 166 200 332 400 415 664 830 1328 1660 2075 3320 4150 6640 8300 16600 33200 6361807591 12723615182 25447230364 31809037955 50894460728 63618075910 101788921456 127236151820 159045189775 254472303640 318090379550 508944607280 528030030053 636180759100 1056060060106 1272361518200 2112120120212 2544723036400 2640150150265 4224240240424 5280300300530 8448480480848 10560600601060 13200750751325 21121201202120 26401501502650 42242402404240 52803003005300 105606006010600 211212012021200