Search a number
-
+
1000221000100 = 225271428887143
BaseRepresentation
bin11101000111000011101…
…00010100000110100100
310112121202010021101121221
432203201310110012210
5112341423034000400
62043254543150124
7132156260136130
oct16434164240644
93477663241557
101000221000100
11356211751603
12141a23ba5344
1373421cc652a
14365a79343c0
151b040d6cc1a
hexe8e1d141a4

1000221000100 has 36 divisors (see below), whose sum is σ = 2480548081984. Its totient is φ = 342932914080.

The previous prime is 1000221000061. The next prime is 1000221000131. The reversal of 1000221000100 is 10001220001.

It is a Harshad number since it is a multiple of its sum of digits (7).

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 11 ways as a sum of consecutive naturals, for example, 714442872 + ... + 714444271.

Almost surely, 21000221000100 is an apocalyptic number.

1000221000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000221000100 is an abundant number, since it is smaller than the sum of its proper divisors (1480327081884).

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

1000221000100 is a wasteful number, since it uses less digits than its factorization.

1000221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428887164 (or 1428887157 counting only the distinct ones).

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

Adding to 1000221000100 its reverse (10001220001), we get a palindrome (1010222220101).

The spelling of 1000221000100 in words is "one trillion, two hundred twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1428887143 2857774286 5715548572 7144435715 10002210001 14288871430 20004420002 28577742860 35722178575 40008840004 50011050005 71444357150 100022100010 142888714300 200044200020 250055250025 500110500050 1000221000100