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221020012221100 = 22522937543345127
BaseRepresentation
bin110010010000010000111011…
…010100010001001010101100
31001222120022021200001011011021
4302100100323110101022230
5212432142441112033400
62102023105241303524
764361111641222411
oct6220207324211254
91058508250034137
10221020012221100
1164473073a12184
12209571aaa94ba4
1396431369048a1
143c815d6072108
151a8438751d71a
hexc9043b5112ac

221020012221100 has 36 divisors (see below), whose sum is σ = 481250332476144. Its totient is φ = 88106271071680.

The previous prime is 221020012221077. The next prime is 221020012221139. The reversal of 221020012221100 is 1122210020122.

It is a happy 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, 3771643264 + ... + 3771701863.

It is an arithmetic number, because the mean of its divisors is an integer number (13368064791004).

Almost surely, 2221020012221100 is an apocalyptic number.

221020012221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020012221100 is an abundant number, since it is smaller than the sum of its proper divisors (260230320255044).

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

221020012221100 is a wasteful number, since it uses less digits than its factorization.

221020012221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543345434 (or 7543345427 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221020012221100 its reverse (1122210020122), we get a palindrome (222142222241222).

The spelling of 221020012221100 in words is "two hundred twenty-one trillion, twenty billion, twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 586 1172 1465 2930 5860 7325 14650 29300 7543345127 15086690254 30173380508 37716725635 75433451270 150866902540 188583628175 377167256350 754334512700 2210200122211 4420400244422 8840800488844 11051000611055 22102001222110 44204002444220 55255003055275 110510006110550 221020012221100