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1007671143217 is a prime number
BaseRepresentation
bin11101010100111011110…
…00010110101100110001
310120022222100000212200111
432222131320112230301
5113002202303040332
62050530121421321
7132542013252034
oct16523570265461
93508870025614
101007671143217
113593950aa382
1214336303a841
137403b64933b
1436ab318901b
151b329e52947
hexea9de16b31

1007671143217 has 2 divisors, whose sum is σ = 1007671143218. Its totient is φ = 1007671143216.

The previous prime is 1007671143211. The next prime is 1007671143239. The reversal of 1007671143217 is 7123411767001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 528469387681 + 479201755536 = 726959^2 + 692244^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007671143217 - 215 = 1007671110449 is a prime.

It is a super-2 number, since 2×10076711432172 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1007671143217.

It is not a weakly prime, because it can be changed into another prime (1007671143211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503835571608 + 503835571609.

It is an arithmetic number, because the mean of its divisors is an integer number (503835571609).

Almost surely, 21007671143217 is an apocalyptic number.

It is an amenable number.

1007671143217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007671143217 is an equidigital number, since it uses as much as digits as its factorization.

1007671143217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49392, while the sum is 40.

The spelling of 1007671143217 in words is "one trillion, seven billion, six hundred seventy-one million, one hundred forty-three thousand, two hundred seventeen".