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186123700308349 is a prime number
BaseRepresentation
bin101010010100011101001101…
…000010101000100101111101
3220102000020210200122212002201
4222110131031002220211331
5143343422314234331344
61455504014133151501
754126664542126346
oct5224351502504575
9812006720585081
10186123700308349
1154339688653261
1218a6002a78b591
137cb150b02337b
1433d661411d0cd
15167b787e1e4d4
hexa9474d0a897d

186123700308349 has 2 divisors, whose sum is σ = 186123700308350. Its totient is φ = 186123700308348.

The previous prime is 186123700308319. The next prime is 186123700308407. The reversal of 186123700308349 is 943803007321681.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141190407875449 + 44933292432900 = 11882357^2 + 6703230^2 .

It is a cyclic number.

It is not a de Polignac number, because 186123700308349 - 215 = 186123700275581 is a prime.

It is a super-2 number, since 2×1861237003083492 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 186123700308349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (186123700308319) 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, 93061850154174 + 93061850154175.

It is an arithmetic number, because the mean of its divisors is an integer number (93061850154175).

Almost surely, 2186123700308349 is an apocalyptic number.

It is an amenable number.

186123700308349 is a deficient number, since it is larger than the sum of its proper divisors (1).

186123700308349 is an equidigital number, since it uses as much as digits as its factorization.

186123700308349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 186123700308349 in words is "one hundred eighty-six trillion, one hundred twenty-three billion, seven hundred million, three hundred eight thousand, three hundred forty-nine".