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217020017043 = 338037778409
BaseRepresentation
bin1100101000011101100…
…1101010100110010011
3202202011111110010122000
43022013121222212103
512023424111021133
6243410404045043
721451646464644
oct3120731524623
9682144403560
10217020017043
1184046161995
1236087693783
131760750068b
14a70a6d16cb
1559a27a2413
hex328766a993

217020017043 has 8 divisors (see below), whose sum is σ = 321511136400. Its totient is φ = 144680011344.

The previous prime is 217020017023. The next prime is 217020017087. The reversal of 217020017043 is 340710020712.

It is a happy number.

217020017043 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 217020017043 - 210 = 217020016019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 8037778409 = 217020017043 / (2 + 1 + 7 + 0 + 2 + 0 + 0 + 1 + 7 + 0 + 4 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 217020016998 and 217020017016.

It is not an unprimeable number, because it can be changed into a prime (217020017023) 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 7 ways as a sum of consecutive naturals, for example, 4018889178 + ... + 4018889231.

It is an arithmetic number, because the mean of its divisors is an integer number (40188892050).

Almost surely, 2217020017043 is an apocalyptic number.

217020017043 is a deficient number, since it is larger than the sum of its proper divisors (104491119357).

217020017043 is an equidigital number, since it uses as much as digits as its factorization.

217020017043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037778418 (or 8037778412 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 217020017043 its reverse (340710020712), we get a palindrome (557730037755).

The spelling of 217020017043 in words is "two hundred seventeen billion, twenty million, seventeen thousand, forty-three".

Divisors: 1 3 9 27 8037778409 24113335227 72340005681 217020017043