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1829700001 is a prime number
BaseRepresentation
bin110110100001111…
…0000000110100001
311201111220101112201
41231003300012201
512221400400001
6501320453201
763225123223
oct15503600641
94644811481
101829700001
118598aa768
1243091a201
132320bb62c
14135008413
15aa973501
hex6d0f01a1

1829700001 has 2 divisors, whose sum is σ = 1829700002. Its totient is φ = 1829700000.

The previous prime is 1829699999. The next prime is 1829700017. The reversal of 1829700001 is 1000079281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1020866401 + 808833600 = 31951^2 + 28440^2 .

It is a cyclic number.

It is not a de Polignac number, because 1829700001 - 21 = 1829699999 is a prime.

Together with 1829699999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1829700091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 914850000 + 914850001.

It is an arithmetic number, because the mean of its divisors is an integer number (914850001).

Almost surely, 21829700001 is an apocalyptic number.

It is an amenable number.

1829700001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1829700001 is an equidigital number, since it uses as much as digits as its factorization.

1829700001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 1829700001 is about 42774.9927060192. The cubic root of 1829700001 is about 1223.0943578533.

Adding to 1829700001 its reverse (1000079281), we get a palindrome (2829779282).

The spelling of 1829700001 in words is "one billion, eight hundred twenty-nine million, seven hundred thousand, one".