Search a number
-
+
312222134023039 is a prime number
BaseRepresentation
bin100011011111101101110000…
…1011000111011001101111111
31111221111010220100101020200001
41012333123201120323031333
5311410421412302214124
63024012511313215131
7122523206353523032
oct10677334130731577
91457433810336601
10312222134023039
1190535733050649
122b0268a8b614a7
131052a56195c506
1457158bbda3019
152616932ea7b44
hex11bf6e163b37f

312222134023039 has 2 divisors, whose sum is σ = 312222134023040. Its totient is φ = 312222134023038.

The previous prime is 312222134022991. The next prime is 312222134023081. The reversal of 312222134023039 is 930320431222213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312222134023039 - 215 = 312222133990271 is a prime.

It is a super-3 number, since 3×3122221340230393 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312222134022989 and 312222134023007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312222134020039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156111067011519 + 156111067011520.

It is an arithmetic number, because the mean of its divisors is an integer number (156111067011520).

Almost surely, 2312222134023039 is an apocalyptic number.

312222134023039 is a deficient number, since it is larger than the sum of its proper divisors (1).

312222134023039 is an equidigital number, since it uses as much as digits as its factorization.

312222134023039 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 312222134023039 in words is "three hundred twelve trillion, two hundred twenty-two billion, one hundred thirty-four million, twenty-three thousand, thirty-nine".