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101133133 is a prime number
BaseRepresentation
bin1100000011100…
…10101101001101
321001022002120121
412001302231031
5201342230013
614011344541
72335421533
oct601625515
9231262517
10101133133
11520a5902
1229a52151
1317c4c4ba
14d608153
158d2a58d
hex6072b4d

101133133 has 2 divisors, whose sum is σ = 101133134. Its totient is φ = 101133132.

The previous prime is 101133127. The next prime is 101133161. The reversal of 101133133 is 331331101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61669609 + 39463524 = 7853^2 + 6282^2 .

It is a cyclic number.

It is not a de Polignac number, because 101133133 - 29 = 101132621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101133233) 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, 50566566 + 50566567.

It is an arithmetic number, because the mean of its divisors is an integer number (50566567).

Almost surely, 2101133133 is an apocalyptic number.

It is an amenable number.

101133133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101133133 is an equidigital number, since it uses as much as digits as its factorization.

101133133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 101133133 is about 10056.4970541437. The cubic root of 101133133 is about 465.9054819448.

Adding to 101133133 its reverse (331331101), we get a palindrome (432464234).

The spelling of 101133133 in words is "one hundred one million, one hundred thirty-three thousand, one hundred thirty-three".