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10023022133017 is a prime number
BaseRepresentation
bin1001000111011010101010…
…1011000111111100011001
31022111012011122102210012121
42101312222223013330121
52303204122131224032
633152302433141241
72053065555265525
oct221665253077431
938435148383177
1010023022133017
113214815770333
12115a6419ba821
1357922299693a
1426918c93cd85
15125ac6175a97
hex91daaac7f19

10023022133017 has 2 divisors, whose sum is σ = 10023022133018. Its totient is φ = 10023022133016.

The previous prime is 10023022132979. The next prime is 10023022133081. The reversal of 10023022133017 is 71033122032001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9303164911881 + 719857221136 = 3050109^2 + 848444^2 .

It is a cyclic number.

It is not a de Polignac number, because 10023022133017 - 227 = 10022887915289 is a prime.

It is a super-3 number, since 3×100230221330173 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023022132982 and 10023022133000.

It is not a weakly prime, because it can be changed into another prime (10023022133417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011511066508 + 5011511066509.

It is an arithmetic number, because the mean of its divisors is an integer number (5011511066509).

Almost surely, 210023022133017 is an apocalyptic number.

It is an amenable number.

10023022133017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10023022133017 is an equidigital number, since it uses as much as digits as its factorization.

10023022133017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 10023022133017 its reverse (71033122032001), we get a palindrome (81056144165018).

The spelling of 10023022133017 in words is "ten trillion, twenty-three billion, twenty-two million, one hundred thirty-three thousand, seventeen".