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101075000833 is a prime number
BaseRepresentation
bin101111000100010001…
…0100001111000000001
3100122220002110001011101
41132020202201320001
53124000200011313
6114233324014401
710205506221502
oct1361042417001
9318802401141
10101075000833
1139958226144
1217709991401
1396ba449701
144c6bb32ba9
1529687d35dd
hex17888a1e01

101075000833 has 2 divisors, whose sum is σ = 101075000834. Its totient is φ = 101075000832.

The previous prime is 101075000821. The next prime is 101075000857. The reversal of 101075000833 is 338000570101.

It is the 129792-nd star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87679947664 + 13395053169 = 296108^2 + 115737^2 .

It is a cyclic number.

It is not a de Polignac number, because 101075000833 - 229 = 100538129921 is a prime.

It is not a weakly prime, because it can be changed into another prime (101075000333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50537500416 + 50537500417.

It is an arithmetic number, because the mean of its divisors is an integer number (50537500417).

Almost surely, 2101075000833 is an apocalyptic number.

It is an amenable number.

101075000833 is a deficient number, since it is larger than the sum of its proper divisors (1).

101075000833 is an equidigital number, since it uses as much as digits as its factorization.

101075000833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 101075000833 its reverse (338000570101), we get a palindrome (439075570934).

The spelling of 101075000833 in words is "one hundred one billion, seventy-five million, eight hundred thirty-three", and thus it is an aban number.