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2101222202220 = 22325101115578779
BaseRepresentation
bin11110100100111010100…
…110100101101101101100
321102212121210021111110200
4132210322212211231230
5233411300340432340
64245142124033500
7304544150012241
oct36447246455554
97385553244420
102101222202220
1174013a177569
1229b293092890
131231b533cb9b
14739b1d7d5c8
15399ce68b330
hex1e93a9a5b6c

2101222202220 has 72 divisors (see below), whose sum is σ = 6436813415760. Its totient is φ = 554778134400.

The previous prime is 2101222202207. The next prime is 2101222202243. The reversal of 2101222202220 is 222022221012.

2101222202220 is a `hidden beast` number, since 21 + 0 + 1 + 222 + 202 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101222202193 and 2101222202202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57771210 + ... + 57807569.

It is an arithmetic number, because the mean of its divisors is an integer number (89400186330).

Almost surely, 22101222202220 is an apocalyptic number.

2101222202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101222202220 is an abundant number, since it is smaller than the sum of its proper divisors (4335591213540).

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

2101222202220 is a wasteful number, since it uses less digits than its factorization.

2101222202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115578895 (or 115578890 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2101222202220 its reverse (222022221012), we get a palindrome (2323244423232).

The spelling of 2101222202220 in words is "two trillion, one hundred one billion, two hundred twenty-two million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 115578779 231157558 346736337 462315116 577893895 693472674 1040209011 1155787790 1386945348 1733681685 2080418022 2311575580 3467363370 4160836044 5201045055 6934726740 10402090110 11673456679 20804180220 23346913358 35020370037 46693826716 58367283395 70040740074 105061110111 116734566790 140081480148 175101850185 210122220222 233469133580 350203700370 420244440444 525305550555 700407400740 1050611101110 2101222202220