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212221110000200 = 23527151586507143
BaseRepresentation
bin110000010000001110010011…
…111000000001101001001000
31000211102010210001011222010112
4300100032103320001221020
5210304012313130001300
62031205010530133452
762462316641324240
oct6020162370015110
91024363701158115
10212221110000200
1161690516002a04
121b975a58421288
139155498617bc2
143a597b118cb20
15198055885de35
hexc10393e01a48

212221110000200 has 48 divisors (see below), whose sum is σ = 563901806575680. Its totient is φ = 72761523428160.

The previous prime is 212221110000127. The next prime is 212221110000203. The reversal of 212221110000200 is 2000011122212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (212221110000203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 75793252172 + ... + 75793254971.

It is an arithmetic number, because the mean of its divisors is an integer number (11747954303660).

Almost surely, 2212221110000200 is an apocalyptic number.

212221110000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221110000200 is an abundant number, since it is smaller than the sum of its proper divisors (351680696575480).

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

212221110000200 is a wasteful number, since it uses less digits than its factorization.

212221110000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151586507166 (or 151586507157 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212221110000200 its reverse (2000011122212), we get a palindrome (214221121122412).

The spelling of 212221110000200 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 151586507143 303173014286 606346028572 757932535715 1061105550001 1212692057144 1515865071430 2122211100002 3031730142860 3789662678575 4244422200004 5305527750005 6063460285720 7579325357150 8488844400008 10611055500010 15158650714300 21222111000020 26527638750025 30317301428600 42444222000040 53055277500050 106110555000100 212221110000200