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101010011009 is a prime number
BaseRepresentation
bin101111000010010101…
…0100111001110000001
3100122201120011012212212
41132010222213032001
53123332030323014
6114223043031505
710204056633005
oct1360452471601
9318646135785
10101010011009
1139924577346
12176b006b595
1396a9b434ab
144c63256705
152962c4723e
hex1784aa7381

101010011009 has 2 divisors, whose sum is σ = 101010011010. Its totient is φ = 101010011008.

The previous prime is 101010010999. The next prime is 101010011021. The reversal of 101010011009 is 900110010101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99288010000 + 1722001009 = 315100^2 + 41497^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010011009 - 24 = 101010010993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010010984 and 101010011002.

It is not a weakly prime, because it can be changed into another prime (101010011059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005504 + 50505005505.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005505).

Almost surely, 2101010011009 is an apocalyptic number.

It is an amenable number.

101010011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010011009 is an equidigital number, since it uses as much as digits as its factorization.

101010011009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101010011009 in words is "one hundred one billion, ten million, eleven thousand, nine".