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2100331153 is a prime number
BaseRepresentation
bin111110100110000…
…1000001010010001
312102101010212200201
41331030020022101
513300141044103
6544225215201
7103022343304
oct17514101221
95371125621
102100331153
11988644978
124a7491501
132761a57cb
1415cd34b3b
15c45d051d
hex7d308291

2100331153 has 2 divisors, whose sum is σ = 2100331154. Its totient is φ = 2100331152.

The previous prime is 2100331151. The next prime is 2100331183. The reversal of 2100331153 is 3511330012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1646087184 + 454243969 = 40572^2 + 21313^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100331153 - 21 = 2100331151 is a prime.

It is a super-2 number, since 2×21003311532 = 8822781904524618818, which contains 22 as substring.

Together with 2100331151, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2100331153.

It is not a weakly prime, because it can be changed into another prime (2100331151) 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 as a sum of consecutive naturals, namely, 1050165576 + 1050165577.

It is an arithmetic number, because the mean of its divisors is an integer number (1050165577).

Almost surely, 22100331153 is an apocalyptic number.

It is an amenable number.

2100331153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100331153 is an equidigital number, since it uses as much as digits as its factorization.

2100331153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 2100331153 is about 45829.3699825778. The cubic root of 2100331153 is about 1280.6464737722.

Adding to 2100331153 its reverse (3511330012), we get a palindrome (5611661165).

The spelling of 2100331153 in words is "two billion, one hundred million, three hundred thirty-one thousand, one hundred fifty-three".