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220111211000020 = 225132291446157529
BaseRepresentation
bin110010000011000010100010…
…100010101111000011010100
31001212100102111202012201022211
4302003002202202233003110
5212322300230004000040
62100045405553203204
764235340000261244
oct6203024242570324
91055312452181284
10220111211000020
116415270535a75a
122082b03b260504
1395a8523915a72
143c4d621c19b24
151a6a8e74cc8ea
hexc830a28af0d4

220111211000020 has 48 divisors (see below), whose sum is σ = 462308486547600. Its totient is φ = 88030210821120.

The previous prime is 220111210999997. The next prime is 220111211000027. The reversal of 220111211000020 is 20000112111022.

It can be written as a sum of positive squares in 8 ways, for example, as 10003518911556 + 210107692088464 = 3162834^2 + 14495092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220111211000027) 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 15 ways as a sum of consecutive naturals, for example, 3826062616 + ... + 3826120144.

It is an arithmetic number, because the mean of its divisors is an integer number (9631426803075).

Almost surely, 2220111211000020 is an apocalyptic number.

220111211000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220111211000020 is an abundant number, since it is smaller than the sum of its proper divisors (242197275547580).

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

220111211000020 is a wasteful number, since it uses less digits than its factorization.

220111211000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85228 (or 85226 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 220111211000020 its reverse (20000112111022), we get a palindrome (240111323111042).

The spelling of 220111211000020 in words is "two hundred twenty trillion, one hundred eleven billion, two hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 13229 14461 26458 28922 52916 57529 57844 66145 72305 115058 132290 144610 230116 264580 287645 289220 575290 1150580 191304569 382609138 761051141 765218276 831926869 956522845 1522102282 1663853738 1913045690 3044204564 3327707476 3805255705 3826091380 4159634345 7610511410 8319268690 15221022820 16638537380 11005560550001 22011121100002 44022242200004 55027802750005 110055605500010 220111211000020