Search a number
-
+
1000220220100 = 225210002202201
BaseRepresentation
bin11101000111000011100…
…01010101101011000100
310112121202001210202200001
432203201301111223010
5112341422334020400
62043254514331044
7132156250410103
oct16434161255304
93477661722601
101000220220100
11356211269582
12141a23889a84
1373421ab24aa
14365a77b003a
151b040c66a6a
hexe8e1c55ac4

1000220220100 has 18 divisors (see below), whose sum is σ = 2170477877834. Its totient is φ = 400088088000.

The previous prime is 1000220220079. The next prime is 1000220220119. The reversal of 1000220220100 is 10220220001.

It can be written as a sum of positive squares in 3 ways, for example, as 119621906496 + 880598313604 = 345864^2 + 938402^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 5 ways as a sum of consecutive naturals, for example, 5001101001 + ... + 5001101200.

Almost surely, 21000220220100 is an apocalyptic number.

1000220220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000220220100 is an abundant number, since it is smaller than the sum of its proper divisors (1170257657734).

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

1000220220100 is a wasteful number, since it uses less digits than its factorization.

1000220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002202215 (or 10002202208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1000220220100 its reverse (10220220001), we get a palindrome (1010440440101).

Subtracting from 1000220220100 its reverse (10220220001), we obtain a palindrome (990000000099).

The spelling of 1000220220100 in words is "one trillion, two hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10002202201 20004404402 40008808804 50011011005 100022022010 200044044020 250055055025 500110110050 1000220220100