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101075000333 is a prime number
BaseRepresentation
bin101111000100010001…
…0100001110000001101
3100122220002110000110212
41132020202201300031
53124000200002313
6114233324012205
710205506220156
oct1361042416015
9318802400425
10101075000333
113995822582a
1217709991065
1396ba449408
144c6bb3292d
1529687d33a8
hex17888a1c0d

101075000333 has 2 divisors, whose sum is σ = 101075000334. Its totient is φ = 101075000332.

The previous prime is 101075000317. The next prime is 101075000347. The reversal of 101075000333 is 333000570101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72661515364 + 28413484969 = 269558^2 + 168563^2 .

It is a cyclic number.

It is not a de Polignac number, because 101075000333 - 24 = 101075000317 is a prime.

It is a super-2 number, since 2×1010750003332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101075000299 and 101075000308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101075000353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50537500166 + 50537500167.

It is an arithmetic number, because the mean of its divisors is an integer number (50537500167).

Almost surely, 2101075000333 is an apocalyptic number.

It is an amenable number.

101075000333 is a deficient number, since it is larger than the sum of its proper divisors (1).

101075000333 is an equidigital number, since it uses as much as digits as its factorization.

101075000333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 23.

Adding to 101075000333 its reverse (333000570101), we get a palindrome (434075570434).

The spelling of 101075000333 in words is "one hundred one billion, seventy-five million, three hundred thirty-three", and thus it is an aban number.