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2307000517217 = 112294366123131
BaseRepresentation
bin100001100100100011111…
…100100100001001100001
322011112202211110222222122
4201210203330210021201
5300244214113022332
64523453231314025
7325450423562534
oct41444374441141
98145684428878
102307000517217
1180a436715300
1231314197b915
1313971a81a456
147d933644a1b
1540025058c12
hex21923f24261

2307000517217 has 48 divisors (see below), whose sum is σ = 2688417695040. Its totient is φ = 1974783888000.

The previous prime is 2307000517163. The next prime is 2307000517229. The reversal of 2307000517217 is 7127150007032.

It is not a de Polignac number, because 2307000517217 - 240 = 1207488889441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2307000517267) 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 47 ways as a sum of consecutive naturals, for example, 99724742 + ... + 99747872.

It is an arithmetic number, because the mean of its divisors is an integer number (56008701980).

Almost surely, 22307000517217 is an apocalyptic number.

It is an amenable number.

2307000517217 is a deficient number, since it is larger than the sum of its proper divisors (381417177823).

2307000517217 is a wasteful number, since it uses less digits than its factorization.

2307000517217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23886 (or 23875 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The spelling of 2307000517217 in words is "two trillion, three hundred seven billion, five hundred seventeen thousand, two hundred seventeen".

Divisors: 1 11 29 43 121 319 473 661 1247 3509 5203 7271 13717 19169 23131 28423 79981 150887 210859 254441 312653 670799 824267 994633 2319449 2798851 3439183 7378789 9066937 10940963 15289591 28844357 81166679 99736307 120350593 168185501 317287927 443398139 657452413 1850040511 3490167197 4877379529 7231976543 19066119977 53651174819 79551741973 209727319747 2307000517217