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211211300120300 = 22527364145137371
BaseRepresentation
bin110000000001100001110110…
…100001000010011011101100
31000200211121021122202000021022
4300001201312201002123230
5210140441220312322200
62025113044243553312
762326340625061244
oct6001416641023354
91020747248660238
10211211300120300
1161331233718057
121b8321b908b838
1390b11a8b6a1cc
143a22977d52b24
151964155c91885
hexc018768426ec

211211300120300 has 72 divisors (see below), whose sum is σ = 465331820367792. Its totient is φ = 83197200384000.

The previous prime is 211211300120299. The next prime is 211211300120309. The reversal of 211211300120300 is 3021003112112.

It is a super-2 number, since 2×2112113001203002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211211300120309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17889386 + ... + 27247985.

Almost surely, 2211211300120300 is an apocalyptic number.

211211300120300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211300120300 is an abundant number, since it is smaller than the sum of its proper divisors (254120520247492).

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

211211300120300 is a wasteful number, since it uses less digits than its factorization.

211211300120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45138099 (or 45138092 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211211300120300 its reverse (3021003112112), we get a palindrome (214232303232412).

The spelling of 211211300120300 in words is "two hundred eleven trillion, two hundred eleven billion, three hundred million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 641 730 1282 1460 1825 2564 3205 3650 6410 7300 12820 16025 32050 46793 64100 93586 187172 233965 467930 935860 1169825 2339650 4679300 45137371 90274742 180549484 225686855 451373710 902747420 1128434275 2256868550 3295028083 4513737100 6590056166 13180112332 16475140415 28933054811 32950280830 57866109622 65900561660 82375702075 115732219244 144665274055 164751404150 289330548110 329502808300 578661096220 723326370275 1446652740550 2112113001203 2893305481100 4224226002406 8448452004812 10560565006015 21121130012030 42242260024060 52802825030075 105605650060150 211211300120300