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100022332313 is a prime number
BaseRepresentation
bin101110100100111001…
…0111010101110011001
3100120011201122221102102
41131021302322232121
53114321204113223
6113541041413145
710140434540201
oct1351162725631
9316151587372
10100022332313
1139467aa9762
121747533a1b5
13958032b627
144babdd5401
15290619b928
hex1749cbab99

100022332313 has 2 divisors, whose sum is σ = 100022332314. Its totient is φ = 100022332312.

The previous prime is 100022332309. The next prime is 100022332343. The reversal of 100022332313 is 313233220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96778232464 + 3244099849 = 311092^2 + 56957^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022332313 - 22 = 100022332309 is a prime.

It is a super-2 number, since 2×1000223323132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100022332343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011166156 + 50011166157.

It is an arithmetic number, because the mean of its divisors is an integer number (50011166157).

Almost surely, 2100022332313 is an apocalyptic number.

It is an amenable number.

100022332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022332313 is an equidigital number, since it uses as much as digits as its factorization.

100022332313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100022332313 its reverse (313233220001), we get a palindrome (413255552314).

The spelling of 100022332313 in words is "one hundred billion, twenty-two million, three hundred thirty-two thousand, three hundred thirteen".