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2217712041245 = 517193135185129
BaseRepresentation
bin100000010001011001111…
…100000011110100011101
321212000022011110110100002
4200101121330003310131
5242313333240304440
64414445225344045
7316136654215211
oct40213174036435
97760264413302
102217712041245
117855876a47a8
122b9983338025
1313118b240a0c
14794a3040941
153ca4b3c9115
hex20459f03d1d

2217712041245 has 16 divisors (see below), whose sum is σ = 2832398843760. Its totient is φ = 1661154852864.

The previous prime is 2217712041227. The next prime is 2217712041343. The reversal of 2217712041245 is 5421402177122.

It can be written as a sum of positive squares in 8 ways, for example, as 31471824409 + 2186240216836 = 177403^2 + 1478594^2 .

It is a cyclic number.

It is not a de Polignac number, because 2217712041245 - 210 = 2217712040221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2217712041199 and 2217712041208.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 67576160 + ... + 67608969.

It is an arithmetic number, because the mean of its divisors is an integer number (177024927735).

Almost surely, 22217712041245 is an apocalyptic number.

It is an amenable number.

2217712041245 is a deficient number, since it is larger than the sum of its proper divisors (614686802515).

2217712041245 is a wasteful number, since it uses less digits than its factorization.

2217712041245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135185344.

The product of its (nonzero) digits is 62720, while the sum is 38.

The spelling of 2217712041245 in words is "two trillion, two hundred seventeen billion, seven hundred twelve million, forty-one thousand, two hundred forty-five".

Divisors: 1 5 17 85 193 965 3281 16405 135185129 675925645 2298147193 11490735965 26090729897 130453649485 443542408249 2217712041245