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234334222312031 is a prime number
BaseRepresentation
bin110101010010000000110000…
…000101000110001001011111
31010201201010120212021010022222
4311102000300011012021133
5221203312441402441111
62150215353334455555
7100234042323551132
oct6522006005061137
91121633525233288
10234334222312031
1168736649461876
1222347660b045bb
13a09a8123a8b1a
1441c1ba0560219
151c15886b467db
hexd5203014625f

234334222312031 has 2 divisors, whose sum is σ = 234334222312032. Its totient is φ = 234334222312030.

The previous prime is 234334222311997. The next prime is 234334222312093. The reversal of 234334222312031 is 130213222433432.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-234334222312031 is a prime.

It is a super-2 number, since 2×2343342223120312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234334222311982 and 234334222312000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (234334222311031) 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, 117167111156015 + 117167111156016.

It is an arithmetic number, because the mean of its divisors is an integer number (117167111156016).

Almost surely, 2234334222312031 is an apocalyptic number.

234334222312031 is a deficient number, since it is larger than the sum of its proper divisors (1).

234334222312031 is an equidigital number, since it uses as much as digits as its factorization.

234334222312031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 234334222312031 its reverse (130213222433432), we get a palindrome (364547444745463).

The spelling of 234334222312031 in words is "two hundred thirty-four trillion, three hundred thirty-four billion, two hundred twenty-two million, three hundred twelve thousand, thirty-one".