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10021211200513 is a prime number
BaseRepresentation
bin1001000111010011111010…
…1110111101110000000001
31022111000111102211212211101
42101310332232331300001
52303141420031404023
633151403022414401
72053002645516112
oct221647656756001
938430442755741
1010021211200513
113213a765199a7
12115a217431401
13578cc4749746
1426905a21c209
15125a1c1ad1ad
hex91d3ebbdc01

10021211200513 has 2 divisors, whose sum is σ = 10021211200514. Its totient is φ = 10021211200512.

The previous prime is 10021211200499. The next prime is 10021211200543. The reversal of 10021211200513 is 31500211212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7647121907649 + 2374089292864 = 2765343^2 + 1540808^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10021211200513 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021211200543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010605600256 + 5010605600257.

It is an arithmetic number, because the mean of its divisors is an integer number (5010605600257).

Almost surely, 210021211200513 is an apocalyptic number.

It is an amenable number.

10021211200513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021211200513 is an equidigital number, since it uses as much as digits as its factorization.

10021211200513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 10021211200513 its reverse (31500211212001), we get a palindrome (41521422412514).

The spelling of 10021211200513 in words is "ten trillion, twenty-one billion, two hundred eleven million, two hundred thousand, five hundred thirteen".