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312434123233 is a prime number
BaseRepresentation
bin1001000101111101000…
…01100110000111100001
31002212110001220221012211
410202332201212013201
520104331113420413
6355310311322121
731400260141441
oct4427641460741
91085401827184
10312434123233
11110558a10101
1250675680341
1323601bc168b
141119c688121
1581d90d383d
hex48be8661e1

312434123233 has 2 divisors, whose sum is σ = 312434123234. Its totient is φ = 312434123232.

The previous prime is 312434123207. The next prime is 312434123257. The reversal of 312434123233 is 332321434213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311963580369 + 470542864 = 558537^2 + 21692^2 .

It is a cyclic number.

It is not a de Polignac number, because 312434123233 - 213 = 312434115041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312434123195 and 312434123204.

It is not a weakly prime, because it can be changed into another prime (312434123273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156217061616 + 156217061617.

It is an arithmetic number, because the mean of its divisors is an integer number (156217061617).

Almost surely, 2312434123233 is an apocalyptic number.

It is an amenable number.

312434123233 is a deficient number, since it is larger than the sum of its proper divisors (1).

312434123233 is an equidigital number, since it uses as much as digits as its factorization.

312434123233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31104, while the sum is 31.

Adding to 312434123233 its reverse (332321434213), we get a palindrome (644755557446).

The spelling of 312434123233 in words is "three hundred twelve billion, four hundred thirty-four million, one hundred twenty-three thousand, two hundred thirty-three".