Search a number
-
+
2112213101 = 10185324517
BaseRepresentation
bin111110111100101…
…1101000001101101
312110012111112122212
41331321131001231
513311211304401
6545332020205
7103225341455
oct17571350155
95405445585
102112213101
1199431aa69
124ab461665
132787a5b4b
14160748d65
15c567adbb
hex7de5d06d

2112213101 has 8 divisors (see below), whose sum is σ = 2135713944. Its totient is φ = 2088763200.

The previous prime is 2112213097. The next prime is 2112213107. The reversal of 2112213101 is 1013122112.

It can be written as a sum of positive squares in 4 ways, for example, as 143161225 + 1969051876 = 11965^2 + 44374^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2112213101 - 22 = 2112213097 is a prime.

It is a super-2 number, since 2×21122131012 = 8922888368072072402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112213107) 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, 73895 + ... + 98411.

It is an arithmetic number, because the mean of its divisors is an integer number (266964243).

Almost surely, 22112213101 is an apocalyptic number.

It is an amenable number.

2112213101 is a deficient number, since it is larger than the sum of its proper divisors (23500843).

2112213101 is a wasteful number, since it uses less digits than its factorization.

2112213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25471.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 2112213101 is about 45958.8196214829. The cubic root of 2112213101 is about 1283.0568826161.

Adding to 2112213101 its reverse (1013122112), we get a palindrome (3125335213).

The spelling of 2112213101 in words is "two billion, one hundred twelve million, two hundred thirteen thousand, one hundred one".

Divisors: 1 101 853 24517 86153 2476217 20913001 2112213101