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2100410021 is a prime number
BaseRepresentation
bin111110100110001…
…1011011010100101
312102101021212212202
41331030123122211
513300201110041
6544231024245
7103023122243
oct17514333245
95371255782
102100410021
11988699156
124a750b085
13276202688
1415cd55793
15c45e8a9b
hex7d31b6a5

2100410021 has 2 divisors, whose sum is σ = 2100410022. Its totient is φ = 2100410020.

The previous prime is 2100409973. The next prime is 2100410023. The reversal of 2100410021 is 1200140012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1917213796 + 183196225 = 43786^2 + 13535^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100410021 - 230 = 1026668197 is a prime.

Together with 2100410023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100409984 and 2100410011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100410023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050205010 + 1050205011.

It is an arithmetic number, because the mean of its divisors is an integer number (1050205011).

Almost surely, 22100410021 is an apocalyptic number.

It is an amenable number.

2100410021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100410021 is an equidigital number, since it uses as much as digits as its factorization.

2100410021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2100410021 is about 45830.2304270882. The cubic root of 2100410021 is about 1280.6625031114.

Adding to 2100410021 its reverse (1200140012), we get a palindrome (3300550033).

The spelling of 2100410021 in words is "two billion, one hundred million, four hundred ten thousand, twenty-one".