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103585046219 is a prime number
BaseRepresentation
bin110000001111000100…
…1100101111011001011
3100220101000112120010022
41200132021211323023
53144120232434334
6115330351011055
710324635236204
oct1403611457313
9326330476108
10103585046219
113aa26070416
12180aa509a8b
1399ca485275
14502923a5ab
152a63d4582e
hex181e265ecb

103585046219 has 2 divisors, whose sum is σ = 103585046220. Its totient is φ = 103585046218.

The previous prime is 103585046207. The next prime is 103585046231. The reversal of 103585046219 is 912640585301.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (103585046207) and next prime (103585046231).

It is an emirp because it is prime and its reverse (912640585301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103585046219 - 216 = 103584980683 is a prime.

It is a super-3 number, since 3×1035850462193 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103585046219.

It is not a weakly prime, because it can be changed into another prime (103585046269) 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, 51792523109 + 51792523110.

It is an arithmetic number, because the mean of its divisors is an integer number (51792523110).

Almost surely, 2103585046219 is an apocalyptic number.

103585046219 is a deficient number, since it is larger than the sum of its proper divisors (1).

103585046219 is an equidigital number, since it uses as much as digits as its factorization.

103585046219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 103585046219 in words is "one hundred three billion, five hundred eighty-five million, forty-six thousand, two hundred nineteen".