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2641001117 is a prime number
BaseRepresentation
bin1001110101101010…
…0111101010011101
320211001111202110012
42131122213222131
520402044013432
61114021453005
7122306065466
oct23532475235
96731452405
102641001117
11113585a257
12618571165
133311ca371
141b0a75d6d
15106ccdcb2
hex9d6a7a9d

2641001117 has 2 divisors, whose sum is σ = 2641001118. Its totient is φ = 2641001116.

The previous prime is 2641001113. The next prime is 2641001131. The reversal of 2641001117 is 7111001462.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1974380356 + 666620761 = 44434^2 + 25819^2 .

It is a cyclic number.

It is not a de Polignac number, because 2641001117 - 22 = 2641001113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2641001092 and 2641001101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2641001113) 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, 1320500558 + 1320500559.

It is an arithmetic number, because the mean of its divisors is an integer number (1320500559).

Almost surely, 22641001117 is an apocalyptic number.

It is an amenable number.

2641001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2641001117 is an equidigital number, since it uses as much as digits as its factorization.

2641001117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 2641001117 is about 51390.6714978507. The cubic root of 2641001117 is about 1382.2593244840.

Adding to 2641001117 its reverse (7111001462), we get a palindrome (9752002579).

The spelling of 2641001117 in words is "two billion, six hundred forty-one million, one thousand, one hundred seventeen".