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312102213211199 is a prime number
BaseRepresentation
bin100011011110110101111010…
…1100011010101010000111111
31111221001200100212012210220102
41012331223311203111100333
5311401440313040224244
63023441435530111315
7122511432535452635
oct10675536543252077
91457050325183812
10312102213211199
1190499894962794
122b0075bb87b53b
131051c15ccacb58
14570db83391355
152613764e4554e
hex11bdaf58d543f

312102213211199 has 2 divisors, whose sum is σ = 312102213211200. Its totient is φ = 312102213211198.

The previous prime is 312102213211189. The next prime is 312102213211213. The reversal of 312102213211199 is 991112312201213.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312102213211199 is a prime.

It is a super-2 number, since 2×3121022132111992 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312102213211189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156051106605599 + 156051106605600.

It is an arithmetic number, because the mean of its divisors is an integer number (156051106605600).

Almost surely, 2312102213211199 is an apocalyptic number.

312102213211199 is a deficient number, since it is larger than the sum of its proper divisors (1).

312102213211199 is an equidigital number, since it uses as much as digits as its factorization.

312102213211199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 312102213211199 in words is "three hundred twelve trillion, one hundred two billion, two hundred thirteen million, two hundred eleven thousand, one hundred ninety-nine".