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101235331 is a prime number
BaseRepresentation
bin1100000100010…
…11101010000011
321001111021202201
412002023222003
5201404012311
614013454031
72336325511
oct602135203
9231437681
10101235331
115216566a
1229aa1317
1317c86b82
14d6334b1
158d4a9c1
hex608ba83

101235331 has 2 divisors, whose sum is σ = 101235332. Its totient is φ = 101235330.

The previous prime is 101235319. The next prime is 101235371. The reversal of 101235331 is 133532101.

It is a weak prime.

It is an emirp because it is prime and its reverse (133532101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101235331 - 27 = 101235203 is a prime.

It is a super-2 number, since 2×1012353312 = 20497184485359122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101235299 and 101235308.

It is not a weakly prime, because it can be changed into another prime (101235371) 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 as a sum of consecutive naturals, namely, 50617665 + 50617666.

It is an arithmetic number, because the mean of its divisors is an integer number (50617666).

Almost surely, 2101235331 is an apocalyptic number.

101235331 is the 6364-th centered pentagonal number.

101235331 is a deficient number, since it is larger than the sum of its proper divisors (1).

101235331 is an equidigital number, since it uses as much as digits as its factorization.

101235331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 101235331 is about 10061.5769638760. The cubic root of 101235331 is about 466.0623661672.

Adding to 101235331 its reverse (133532101), we get a palindrome (234767432).

The spelling of 101235331 in words is "one hundred one million, two hundred thirty-five thousand, three hundred thirty-one".