Search a number
-
+
1000220101100 = 2252113892337509
BaseRepresentation
bin11101000111000011100…
…00111000100111101100
310112121202001120201102122
432203201300320213230
5112341422321213400
62043254512012112
7132156246403133
oct16434160704754
93477661521378
101000220101100
11356211198130
12141a23831038
1373421a7028c
14365a777c91a
151b040c41685
hexe8e1c389ec

1000220101100 has 72 divisors (see below), whose sum is σ = 2373881655600. Its totient is φ = 362781241600.

The previous prime is 1000220101099. The next prime is 1000220101121. The reversal of 1000220101100 is 11010220001.

1000220101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740855 + ... + 1596654.

It is an arithmetic number, because the mean of its divisors is an integer number (32970578550).

Almost surely, 21000220101100 is an apocalyptic number.

1000220101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000220101100 is an abundant number, since it is smaller than the sum of its proper divisors (1373661554500).

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

1000220101100 is a wasteful number, since it uses less digits than its factorization.

1000220101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337923 (or 2337916 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000220101100 its reverse (11010220001), we get a palindrome (1011230321101).

It can be divided in two parts, 10002 and 20101100, that added together give a palindrome (20111102).

The spelling of 1000220101100 in words is "one trillion, two hundred twenty million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 389 550 778 1100 1556 1945 3890 4279 7780 8558 9725 17116 19450 21395 38900 42790 85580 106975 213950 427900 2337509 4675018 9350036 11687545 23375090 25712599 46750180 51425198 58437725 102850396 116875450 128562995 233750900 257125990 514251980 642814975 909291001 1285629950 1818582002 2571259900 3637164004 4546455005 9092910010 10002201011 18185820020 20004402022 22732275025 40008804044 45464550050 50011005055 90929100100 100022010110 200044020220 250055025275 500110050550 1000220101100