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1006644101 is a prime number
BaseRepresentation
bin111100000000000…
…010101110000101
32121011011211002212
4330000002232011
54030200102401
6243515513205
733642222311
oct7400025605
92534154085
101006644101
11477251681
12241158805
131307253c8
149799ab41
155d594dbb
hex3c002b85

1006644101 has 2 divisors, whose sum is σ = 1006644102. Its totient is φ = 1006644100.

The previous prime is 1006644091. The next prime is 1006644131. The reversal of 1006644101 is 1014466001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 540516001 + 466128100 = 23249^2 + 21590^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006644101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006644131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503322050 + 503322051.

It is an arithmetic number, because the mean of its divisors is an integer number (503322051).

Almost surely, 21006644101 is an apocalyptic number.

It is an amenable number.

1006644101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006644101 is an equidigital number, since it uses as much as digits as its factorization.

1006644101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1006644101 is about 31727.6551449993. The cubic root of 1006644101 is about 1002.2098134608.

The spelling of 1006644101 in words is "one billion, six million, six hundred forty-four thousand, one hundred one".