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100211009 is a prime number
BaseRepresentation
bin1011111100100…
…01100101000001
320222120020122212
411332101211001
5201123223014
613535511505
72324531243
oct576214501
9228506585
10100211009
1151626018
1229688595
13179b8872
14d448093
158be723e
hex5f91941

100211009 has 2 divisors, whose sum is σ = 100211010. Its totient is φ = 100211008.

The previous prime is 100210987. The next prime is 100211021. The reversal of 100211009 is 900112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50367409 + 49843600 = 7097^2 + 7060^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211009 - 28 = 100210753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210984 and 100211002.

It is not a weakly prime, because it can be changed into another prime (100211099) 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, 50105504 + 50105505.

It is an arithmetic number, because the mean of its divisors is an integer number (50105505).

Almost surely, 2100211009 is an apocalyptic number.

It is an amenable number.

100211009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211009 is an equidigital number, since it uses as much as digits as its factorization.

100211009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 100211009 is about 10010.5448902645. The cubic root of 100211009 is about 464.4851263408.

The spelling of 100211009 in words is "one hundred million, two hundred eleven thousand, nine".