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2082249101 is a prime number
BaseRepresentation
bin111110000011100…
…1001100110001101
312101010010012210002
41330013021212031
513231023432401
6542341454045
7102412553042
oct17407114615
95333105702
102082249101
11979414629
124a1411325
1327251437a
1415a7891c9
15c2c0ca6b
hex7c1c998d

2082249101 has 2 divisors, whose sum is σ = 2082249102. Its totient is φ = 2082249100.

The previous prime is 2082249047. The next prime is 2082249109. The reversal of 2082249101 is 1019422802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1596002500 + 486246601 = 39950^2 + 22051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2082249101 is a prime.

It is a super-2 number, since 2×20822491012 = 8671522637230616402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2082249109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1041124550 + 1041124551.

It is an arithmetic number, because the mean of its divisors is an integer number (1041124551).

Almost surely, 22082249101 is an apocalyptic number.

It is an amenable number.

2082249101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2082249101 is an equidigital number, since it uses as much as digits as its factorization.

2082249101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2082249101 is about 45631.6677429173. The cubic root of 2082249101 is about 1276.9607868851.

The spelling of 2082249101 in words is "two billion, eighty-two million, two hundred forty-nine thousand, one hundred one".