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11006640112309 is a prime number
BaseRepresentation
bin1010000000101010111011…
…0111111100001010110101
31102222020001200012022222221
42200022232313330022311
52420313044332043214
635224214120122341
72214126542204332
oct240125667741265
942866050168887
1011006640112309
113563987445636
1212991b16063b1
1361abc9cc13aa
142a0a1d3ad989
151414945d4e24
hexa02aedfc2b5

11006640112309 has 2 divisors, whose sum is σ = 11006640112310. Its totient is φ = 11006640112308.

The previous prime is 11006640112301. The next prime is 11006640112339. The reversal of 11006640112309 is 90321104660011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10856510986084 + 150129126225 = 3294922^2 + 387465^2 .

It is a cyclic number.

It is not a de Polignac number, because 11006640112309 - 23 = 11006640112301 is a prime.

It is a super-2 number, since 2×110066401123092 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11006640112301) 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, 5503320056154 + 5503320056155.

It is an arithmetic number, because the mean of its divisors is an integer number (5503320056155).

Almost surely, 211006640112309 is an apocalyptic number.

It is an amenable number.

11006640112309 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006640112309 is an equidigital number, since it uses as much as digits as its factorization.

11006640112309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 11006640112309 in words is "eleven trillion, six billion, six hundred forty million, one hundred twelve thousand, three hundred nine".