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102012209 = 1316094877
BaseRepresentation
bin1100001010010…
…01010100110001
321002221202102222
412011021110301
5202103342314
614042250425
72346042455
oct605112461
9232852388
10102012209
1152646312
122a1b6a15
1318199670
14d796665
158e50c8e
hex6149531

102012209 has 8 divisors (see below), whose sum is σ = 109950120. Its totient is φ = 94087296.

The previous prime is 102012187. The next prime is 102012217. The reversal of 102012209 is 902210201.

It can be written as a sum of positive squares in 4 ways, for example, as 15429184 + 86583025 = 3928^2 + 9305^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102012209 - 212 = 102008113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102012269) 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 in 7 ways as a sum of consecutive naturals, for example, 18479 + ... + 23355.

It is an arithmetic number, because the mean of its divisors is an integer number (13743765).

Almost surely, 2102012209 is an apocalyptic number.

It is an amenable number.

102012209 is a deficient number, since it is larger than the sum of its proper divisors (7937911).

102012209 is a wasteful number, since it uses less digits than its factorization.

102012209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499.

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

The square root of 102012209 is about 10100.1093558436. The cubic root of 102012209 is about 467.2515140726.

It can be divided in two parts, 10201 and 2209, that multiplied together give a square (22534009 = 47472).

The spelling of 102012209 in words is "one hundred two million, twelve thousand, two hundred nine".

Divisors: 1 13 1609 4877 20917 63401 7847093 102012209