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11011017026017 is a prime number
BaseRepresentation
bin1010000000111011001111…
…0000100010100111100001
31102222122100201010120212001
42200032303300202213201
52420401030324313032
635230220312404001
72214343160310601
oct240166360424741
942878321116761
1011011017026017
113565823066698
12129a0133a6601
1361b446a30268
142a0d167d8c01
1514164d9ad3e7
hexa03b3c229e1

11011017026017 has 2 divisors, whose sum is σ = 11011017026018. Its totient is φ = 11011017026016.

The previous prime is 11011017025997. The next prime is 11011017026159. The reversal of 11011017026017 is 71062071011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10778870368161 + 232146657856 = 3283119^2 + 481816^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11011017026017 is a prime.

It is not a weakly prime, because it can be changed into another prime (11011017026417) 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, 5505508513008 + 5505508513009.

It is an arithmetic number, because the mean of its divisors is an integer number (5505508513009).

Almost surely, 211011017026017 is an apocalyptic number.

It is an amenable number.

11011017026017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011017026017 is an equidigital number, since it uses as much as digits as its factorization.

11011017026017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 28.

Adding to 11011017026017 its reverse (71062071011011), we get a palindrome (82073088037028).

The spelling of 11011017026017 in words is "eleven trillion, eleven billion, seventeen million, twenty-six thousand, seventeen".