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312211313223049 is a prime number
BaseRepresentation
bin100011011111101000101110…
…0011010110110010110001001
31111221110002222020010122122001
41012333101130122312112021
5311410232232141114144
63024003521450031001
7122522344251324142
oct10677213432662611
91457402866118561
10312211313223049
119053108aa89439
122b024789118461
1310529528bb8896
145715172c1cac9
1526164ed014bd4
hex11bf45c6b6589

312211313223049 has 2 divisors, whose sum is σ = 312211313223050. Its totient is φ = 312211313223048.

The previous prime is 312211313223023. The next prime is 312211313223091. The reversal of 312211313223049 is 940322313112213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196417422010000 + 115793891213049 = 14014900^2 + 10760757^2 .

It is a cyclic number.

It is not a de Polignac number, because 312211313223049 - 247 = 171473824867721 is a prime.

It is a super-2 number, since 2×3122113132230492 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312211313222999 and 312211313223017.

It is not a weakly prime, because it can be changed into another prime (312211313223749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105656611524 + 156105656611525.

It is an arithmetic number, because the mean of its divisors is an integer number (156105656611525).

Almost surely, 2312211313223049 is an apocalyptic number.

It is an amenable number.

312211313223049 is a deficient number, since it is larger than the sum of its proper divisors (1).

312211313223049 is an equidigital number, since it uses as much as digits as its factorization.

312211313223049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 312211313223049 in words is "three hundred twelve trillion, two hundred eleven billion, three hundred thirteen million, two hundred twenty-three thousand, forty-nine".