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220001101000 = 2353293750857
BaseRepresentation
bin1100110011100100010…
…1100110010011001000
3210000212020212220000221
43030321011212103020
512101030240213000
6245022255035424
721615555334552
oct3147105462310
9700766786027
10220001101000
118533598243a
1236779b0bb74
1317990cc0c95
14a9105b24d2
155ac935b61a
hex33391664c8

220001101000 has 64 divisors (see below), whose sum is σ = 516560269680. Its totient is φ = 87699980800.

The previous prime is 220001100997. The next prime is 220001101037. The reversal of 220001101000 is 101100022.

It can be written as a sum of positive squares in 8 ways, for example, as 1764504036 + 218236596964 = 42006^2 + 467158^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 82429 + ... + 668428.

Almost surely, 2220001101000 is an apocalyptic number.

220001101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220001101000 is an abundant number, since it is smaller than the sum of its proper divisors (296559168680).

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

220001101000 is a wasteful number, since it uses less digits than its factorization.

220001101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751171 (or 751157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 220001101000 its reverse (101100022), we get a palindrome (220102201022).

The spelling of 220001101000 in words is "two hundred twenty billion, one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 293 500 586 1000 1172 1465 2344 2930 5860 7325 11720 14650 29300 36625 58600 73250 146500 293000 750857 1501714 3003428 3754285 6006856 7508570 15017140 18771425 30034280 37542850 75085700 93857125 150171400 187714250 220001101 375428500 440002202 750857000 880004404 1100005505 1760008808 2200011010 4400022020 5500027525 8800044040 11000055050 22000110100 27500137625 44000220200 55000275250 110000550500 220001101000