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101329289 is a prime number
BaseRepresentation
bin1100000101000…
…10100110001001
321001200001122122
412002202212021
5201420014124
614015501025
72340166445
oct602424611
9231601578
10101329289
115221a216
1229b27775
1317cba879
14d659825
158d6875e
hex60a2989

101329289 has 2 divisors, whose sum is σ = 101329290. Its totient is φ = 101329288.

The previous prime is 101329279. The next prime is 101329307. The reversal of 101329289 is 982923101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62141689 + 39187600 = 7883^2 + 6260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101329289 is a prime.

It is a super-3 number, since 3×1013292893 (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101329229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50664644 + 50664645.

It is an arithmetic number, because the mean of its divisors is an integer number (50664645).

Almost surely, 2101329289 is an apocalyptic number.

It is an amenable number.

101329289 is a deficient number, since it is larger than the sum of its proper divisors (1).

101329289 is an equidigital number, since it uses as much as digits as its factorization.

101329289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 101329289 is about 10066.2450298013. The cubic root of 101329289 is about 466.2065080291.

The spelling of 101329289 in words is "one hundred one million, three hundred twenty-nine thousand, two hundred eighty-nine".