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11001000020993 is a prime number
BaseRepresentation
bin1010000000010101111010…
…1100101100110000000001
31102221200111121101000012222
42200011132230230300001
52420220022001132433
635221442321300425
72213540015212403
oct240053654546001
942850447330188
1011001000020993
113561552797544
121298098794715
1361a50b66a958
142a06462cab73
15141264391b98
hexa015eb2cc01

11001000020993 has 2 divisors, whose sum is σ = 11001000020994. Its totient is φ = 11001000020992.

The previous prime is 11001000020971. The next prime is 11001000021029. The reversal of 11001000020993 is 39902000010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5676129946369 + 5324870074624 = 2382463^2 + 2307568^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001000020993 - 214 = 11001000004609 is a prime.

It is not a weakly prime, because it can be changed into another prime (11001000020393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500500010496 + 5500500010497.

It is an arithmetic number, because the mean of its divisors is an integer number (5500500010497).

Almost surely, 211001000020993 is an apocalyptic number.

It is an amenable number.

11001000020993 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001000020993 is an equidigital number, since it uses as much as digits as its factorization.

11001000020993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 11001000020993 in words is "eleven trillion, one billion, twenty thousand, nine hundred ninety-three".