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2123102221 = 4116321949
BaseRepresentation
bin111111010001011…
…1111100000001101
312110221222202201121
41332202333200031
513322003232341
6550401240541
7103420033252
oct17642774015
95427882647
102123102221
1199a488139
124b3033151
1327ab19306
14161d81429
15c65cc4d1
hex7e8bf80d

2123102221 has 12 divisors (see below), whose sum is σ = 2189432700. Its totient is φ = 2057555520.

The previous prime is 2123102213. The next prime is 2123102243. The reversal of 2123102221 is 1222013212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 813675625 + 1309426596 = 28525^2 + 36186^2 .

It is not a de Polignac number, because 2123102221 - 23 = 2123102213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2123102195 and 2123102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123102021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1088355 + ... + 1090303.

It is an arithmetic number, because the mean of its divisors is an integer number (182452725).

Almost surely, 22123102221 is an apocalyptic number.

It is an amenable number.

2123102221 is a deficient number, since it is larger than the sum of its proper divisors (66330479).

2123102221 is an equidigital number, since it uses as much as digits as its factorization.

2123102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2123102221 is about 46077.1333852270. The cubic root of 2123102221 is about 1285.2579578722.

Adding to 2123102221 its reverse (1222013212), we get a palindrome (3345115433).

The spelling of 2123102221 in words is "two billion, one hundred twenty-three million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 41 163 1949 6683 26569 79909 317687 1089329 13025167 51782981 2123102221