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1027224317 = 71311398059
BaseRepresentation
bin111101001110100…
…011001011111101
32122120220101212002
4331032203023331
54100432134232
6245532552045
734312156040
oct7516431375
92576811762
101027224317
11487928919
12248022625
13134a7c952
149a5d6c57
15602acb62
hex3d3a32fd

1027224317 has 16 divisors (see below), whose sum is σ = 1191590400. Its totient is φ = 867363120.

The previous prime is 1027224313. The next prime is 1027224343. The reversal of 1027224317 is 7134227201.

It is a cyclic number.

It is not a de Polignac number, because 1027224317 - 22 = 1027224313 is a prime.

It is a super-2 number, since 2×10272243172 = 2110379594872232978, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1027224317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027224313) 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 in 15 ways as a sum of consecutive naturals, for example, 123434 + ... + 131492.

It is an arithmetic number, because the mean of its divisors is an integer number (74474400).

Almost surely, 21027224317 is an apocalyptic number.

It is an amenable number.

1027224317 is a deficient number, since it is larger than the sum of its proper divisors (164366083).

1027224317 is a wasteful number, since it uses less digits than its factorization.

1027224317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336.

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 1027224317 is about 32050.3403570071. The cubic root of 1027224317 is about 1008.9936442116.

The spelling of 1027224317 in words is "one billion, twenty-seven million, two hundred twenty-four thousand, three hundred seventeen".

Divisors: 1 7 131 139 917 973 8059 18209 56413 127463 1055729 1120201 7390103 7841407 146746331 1027224317