Search a number
-
+
2201100100 = 225222011001
BaseRepresentation
bin1000001100110010…
…0001111101000100
312200101202110200221
42003030201331010
514001440200400
61002225114124
7105355020313
oct20314417504
95611673627
102201100100
11a2a5110a1
12515188944
132910282c4
1416c48627a
15cd387c1a
hex83321f44

2201100100 has 18 divisors (see below), whose sum is σ = 4776387434. Its totient is φ = 880440000.

The previous prime is 2201100061. The next prime is 2201100101. The reversal of 2201100100 is 10011022.

It can be written as a sum of positive squares in 3 ways, for example, as 367718976 + 1833381124 = 19176^2 + 42818^2 .

It is not an unprimeable number, because it can be changed into a prime (2201100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11005401 + ... + 11005600.

Almost surely, 22201100100 is an apocalyptic number.

2201100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201100100 is an abundant number, since it is smaller than the sum of its proper divisors (2575287334).

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

2201100100 is a wasteful number, since it uses less digits than its factorization.

2201100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22011015 (or 22011008 counting only the distinct ones).

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

The square root of 2201100100 is about 46915.8832379824. The cubic root of 2201100100 is about 1300.8081956744.

Adding to 2201100100 its reverse (10011022), we get a palindrome (2211111122).

The spelling of 2201100100 in words is "two billion, two hundred one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22011001 44022002 88044004 110055005 220110010 440220020 550275025 1100550050 2201100100