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1682100029 is a prime number
BaseRepresentation
bin110010001000010…
…1100111100111101
311100020011112110002
41210100230330331
511421104200104
6434525124045
756453420501
oct14420547475
94306145402
101682100029
11793557715
123ab3b9625
1320a64cc7c
1411d586301
159ca1a01e
hex6442cf3d

1682100029 has 2 divisors, whose sum is σ = 1682100030. Its totient is φ = 1682100028.

The previous prime is 1682100019. The next prime is 1682100073. The reversal of 1682100029 is 9200012861.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1434667129 + 247432900 = 37877^2 + 15730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1682100029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1682099974 and 1682100010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1682100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 841050014 + 841050015.

It is an arithmetic number, because the mean of its divisors is an integer number (841050015).

Almost surely, 21682100029 is an apocalyptic number.

It is an amenable number.

1682100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1682100029 is an equidigital number, since it uses as much as digits as its factorization.

1682100029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1682100029 is about 41013.4127938654. The cubic root of 1682100029 is about 1189.2795179736.

The spelling of 1682100029 in words is "one billion, six hundred eighty-two million, one hundred thousand, twenty-nine".