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2124414305 = 513101323597
BaseRepresentation
bin111111010011111…
…1111110101100001
312111001110102120022
41332213333311201
513322322224210
6550445323225
7103434136466
oct17647776541
95431412508
102124414305
119a01a3a02
124b3566515
1327b1885b0
1416220366d
15c678b155
hex7e9ffd61

2124414305 has 16 divisors (see below), whose sum is σ = 2772587664. Its totient is φ = 1553260800.

The previous prime is 2124414167. The next prime is 2124414329. The reversal of 2124414305 is 5034144212.

It can be written as a sum of positive squares in 8 ways, for example, as 3996001 + 2120418304 = 1999^2 + 46048^2 .

It is not a de Polignac number, because 2124414305 - 28 = 2124414049 is a prime.

It is a super-2 number, since 2×21244143052 = 9026272278577266050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155234 + ... + 168363.

It is an arithmetic number, because the mean of its divisors is an integer number (173286729).

Almost surely, 22124414305 is an apocalyptic number.

It is an amenable number.

2124414305 is a deficient number, since it is larger than the sum of its proper divisors (648173359).

2124414305 is a wasteful number, since it uses less digits than its factorization.

2124414305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323716.

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2124414305 is about 46091.3690944411. The cubic root of 2124414305 is about 1285.5226678661.

Adding to 2124414305 its reverse (5034144212), we get a palindrome (7158558517).

The spelling of 2124414305 in words is "two billion, one hundred twenty-four million, four hundred fourteen thousand, three hundred five".

Divisors: 1 5 13 65 101 505 1313 6565 323597 1617985 4206761 21033805 32683297 163416485 424882861 2124414305