Search a number
-
+
22100110001000 = 235322100110001
BaseRepresentation
bin1010000011001100101010…
…01101001100001101101000
32220020202020122221022212122
411001212111031030031220
510344042011130013000
6115000352251530412
74440452220343043
oct501462515141550
986222218838778
1022100110001000
117050670a46339
12258b196159a08
13c44054090495
14565918603c5a
15284d1ba7b085
hex14199534c368

22100110001000 has 32 divisors (see below), whose sum is σ = 51714257404680. Its totient is φ = 8840044000000.

The previous prime is 22100110000981. The next prime is 22100110001003. The reversal of 22100110001000 is 10001100122.

It can be written as a sum of positive squares in 4 ways, for example, as 13133187552676 + 8966922448324 = 3623974^2 + 2994482^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (22100110001003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11050054001 + ... + 11050056000.

Almost surely, 222100110001000 is an apocalyptic number.

22100110001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100110001000 is an abundant number, since it is smaller than the sum of its proper divisors (29614147403680).

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

22100110001000 is a wasteful number, since it uses less digits than its factorization.

22100110001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22100110022 (or 22100110008 counting only the distinct ones).

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

Adding to 22100110001000 its reverse (10001100122), we get a palindrome (22110111101122).

The spelling of 22100110001000 in words is "twenty-two trillion, one hundred billion, one hundred ten million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 22100110001 44200220002 88400440004 110500550005 176800880008 221001100010 442002200020 552502750025 884004400040 1105005500050 2210011000100 2762513750125 4420022000200 5525027500250 11050055000500 22100110001000