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2117004613 is a prime number
BaseRepresentation
bin111111000101110…
…1110110101000101
312110112111222101021
41332023232311011
513313423121423
6550022431141
7103314146053
oct17613566505
95415458337
102117004613
11996aa2999
124b0b924b1
13279792a69
141612351d3
15c5cc595d
hex7e2eed45

2117004613 has 2 divisors, whose sum is σ = 2117004614. Its totient is φ = 2117004612.

The previous prime is 2117004587. The next prime is 2117004653. The reversal of 2117004613 is 3164007112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1718682849 + 398321764 = 41457^2 + 19958^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2117004613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2117004653) 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, 1058502306 + 1058502307.

It is an arithmetic number, because the mean of its divisors is an integer number (1058502307).

Almost surely, 22117004613 is an apocalyptic number.

It is an amenable number.

2117004613 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117004613 is an equidigital number, since it uses as much as digits as its factorization.

2117004613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2117004613 is about 46010.9184107425. The cubic root of 2117004613 is about 1284.0263459703.

The spelling of 2117004613 in words is "two billion, one hundred seventeen million, four thousand, six hundred thirteen".