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102200309 is a prime number
BaseRepresentation
bin1100001011101…
…11001111110101
321010022022110122
412011313033311
5202130402214
614050301325
72350455041
oct605671765
9233268418
10102200309
1152764672
122a287845
1318234173
14d805021
158e8b88e
hex61773f5

102200309 has 2 divisors, whose sum is σ = 102200310. Its totient is φ = 102200308.

The previous prime is 102200303. The next prime is 102200341. The reversal of 102200309 is 903002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96334225 + 5866084 = 9815^2 + 2422^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200309 - 28 = 102200053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200303) 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, 51100154 + 51100155.

It is an arithmetic number, because the mean of its divisors is an integer number (51100155).

Almost surely, 2102200309 is an apocalyptic number.

It is an amenable number.

102200309 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200309 is an equidigital number, since it uses as much as digits as its factorization.

102200309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 102200309 is about 10109.4168476723. The cubic root of 102200309 is about 467.5385256173.

The spelling of 102200309 in words is "one hundred two million, two hundred thousand, three hundred nine".