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312100322123 is a prime number
BaseRepresentation
bin1001000101010101010…
…00001111101101001011
31002211120210211002011202
410202222220033231023
520103140140301443
6355213225014415
731356064652402
oct4425250175513
91084523732152
10312100322123
111103a754a417
12505a192440b
132357a9ba725
141116a1d6639
1581b9b497b8
hex48aaa0fb4b

312100322123 has 2 divisors, whose sum is σ = 312100322124. Its totient is φ = 312100322122.

The previous prime is 312100322111. The next prime is 312100322159. The reversal of 312100322123 is 321223001213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312100322123 - 220 = 312099273547 is a prime.

It is a super-2 number, since 2×3121003221232 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312100322095 and 312100322104.

It is not a weakly prime, because it can be changed into another prime (312100322423) 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, 156050161061 + 156050161062.

It is an arithmetic number, because the mean of its divisors is an integer number (156050161062).

Almost surely, 2312100322123 is an apocalyptic number.

312100322123 is a deficient number, since it is larger than the sum of its proper divisors (1).

312100322123 is an equidigital number, since it uses as much as digits as its factorization.

312100322123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312100322123 its reverse (321223001213), we get a palindrome (633323323336).

The spelling of 312100322123 in words is "three hundred twelve billion, one hundred million, three hundred twenty-two thousand, one hundred twenty-three".