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102212009 is a prime number
BaseRepresentation
bin1100001011110…
…10000110101001
321010022220111222
412011322012221
5202131241014
614050431425
72350534124
oct605720651
9233286458
10102212009
1152772439
122a292575
13182395a3
14d8093bb
158e9008e
hex617a1a9

102212009 has 2 divisors, whose sum is σ = 102212010. Its totient is φ = 102212008.

The previous prime is 102211999. The next prime is 102212021. The reversal of 102212009 is 900212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100560784 + 1651225 = 10028^2 + 1285^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102212009 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102212059) 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, 51106004 + 51106005.

It is an arithmetic number, because the mean of its divisors is an integer number (51106005).

Almost surely, 2102212009 is an apocalyptic number.

It is an amenable number.

102212009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212009 is an equidigital number, since it uses as much as digits as its factorization.

102212009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 102212009 is about 10109.9954995044. The cubic root of 102212009 is about 467.5563663723.

It can be divided in two parts, 1022 and 12009, that added together give a palindrome (13031).

The spelling of 102212009 in words is "one hundred two million, two hundred twelve thousand, nine".