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2102132257 is a prime number
BaseRepresentation
bin111110101001011…
…1111111000100001
312102111112101100021
41331102333320201
513301121213012
6544331553441
7103043554321
oct17522777041
95374471307
102102132257
11989665095
124a7bbb881
13276686554
1415d283281
15c4839007
hex7d4bfe21

2102132257 has 2 divisors, whose sum is σ = 2102132258. Its totient is φ = 2102132256.

The previous prime is 2102132243. The next prime is 2102132267. The reversal of 2102132257 is 7522312012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1633453056 + 468679201 = 40416^2 + 21649^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102132257 - 211 = 2102130209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102132237) 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 as a sum of consecutive naturals, namely, 1051066128 + 1051066129.

It is an arithmetic number, because the mean of its divisors is an integer number (1051066129).

Almost surely, 22102132257 is an apocalyptic number.

It is an amenable number.

2102132257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102132257 is an equidigital number, since it uses as much as digits as its factorization.

2102132257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 2102132257 is about 45849.0158782062. The cubic root of 2102132257 is about 1281.0124348691.

Adding to 2102132257 its reverse (7522312012), we get a palindrome (9624444269).

The spelling of 2102132257 in words is "two billion, one hundred two million, one hundred thirty-two thousand, two hundred fifty-seven".