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100628222033 is a prime number
BaseRepresentation
bin101110110110111101…
…0001101000001010001
3100121201221202022212102
41131231322031001101
53122041311101113
6114121124010145
710161442526423
oct1355572150121
9317657668772
10100628222033
113974900a669
1217604230955
139648a09c61
144c28672813
15293e47e758
hex176de8d051

100628222033 has 2 divisors, whose sum is σ = 100628222034. Its totient is φ = 100628222032.

The previous prime is 100628222029. The next prime is 100628222041. The reversal of 100628222033 is 330222826001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70558234384 + 30069987649 = 265628^2 + 173407^2 .

It is an emirp because it is prime and its reverse (330222826001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100628222033 - 22 = 100628222029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100628221987 and 100628222005.

It is not a weakly prime, because it can be changed into another prime (100628222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50314111016 + 50314111017.

It is an arithmetic number, because the mean of its divisors is an integer number (50314111017).

Almost surely, 2100628222033 is an apocalyptic number.

It is an amenable number.

100628222033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100628222033 is an equidigital number, since it uses as much as digits as its factorization.

100628222033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 100628222033 in words is "one hundred billion, six hundred twenty-eight million, two hundred twenty-two thousand, thirty-three".