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2123302313 = 112313715299
BaseRepresentation
bin111111010001111…
…0000010110101001
312110222100221012102
41332203300112221
513322031133223
6550405423145
7103421525516
oct17643602651
95428327172
102123302313
1199a604500
124b310aab5
1327ab89402
14161dd430d
15c661b928
hex7e8f05a9

2123302313 has 24 divisors (see below), whose sum is σ = 2474438400. Its totient is φ = 1817402400.

The previous prime is 2123302297. The next prime is 2123302327. The reversal of 2123302313 is 3132033212.

It is not a de Polignac number, because 2123302313 - 24 = 2123302297 is a prime.

It is a super-2 number, since 2×21233023132 = 9016825424782299938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2123302333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131138 + ... + 146436.

It is an arithmetic number, because the mean of its divisors is an integer number (103101600).

Almost surely, 22123302313 is an apocalyptic number.

It is an amenable number.

2123302313 is a deficient number, since it is larger than the sum of its proper divisors (351136087).

2123302313 is a wasteful number, since it uses less digits than its factorization.

2123302313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15389 (or 15378 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2123302313 is about 46079.3046062980. The cubic root of 2123302313 is about 1285.2983330292.

Adding to 2123302313 its reverse (3132033212), we get a palindrome (5255335525).

The spelling of 2123302313 in words is "two billion, one hundred twenty-three million, three hundred two thousand, three hundred thirteen".

Divisors: 1 11 31 37 121 341 407 1147 3751 4477 12617 15299 138787 168289 474269 566063 1851179 5216959 6226693 17547953 57386549 68493623 193027483 2123302313