Search a number
-
+
312110122011 = 3372277274349
BaseRepresentation
bin1001000101010110011…
…01101000010000011011
31002211121111020222002120
410202223031220100123
520103200142401021
6355214215032323
731356244156452
oct4425315502033
91084544228076
10312110122011
111104020331a6
12505a506b6a3
132357ca3c18c
141116b627b99
1581ba9332c6
hex48ab36841b

312110122011 has 24 divisors (see below), whose sum is σ = 429243620400. Its totient is φ = 201718207872.

The previous prime is 312110122003. The next prime is 312110122019. The reversal of 312110122011 is 110221011213.

It is an interprime number because it is at equal distance from previous prime (312110122003) and next prime (312110122019).

It is not a de Polignac number, because 312110122011 - 23 = 312110122003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312110122019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000465 + ... + 1274813.

It is an arithmetic number, because the mean of its divisors is an integer number (17885150850).

Almost surely, 2312110122011 is an apocalyptic number.

312110122011 is a deficient number, since it is larger than the sum of its proper divisors (117133498389).

312110122011 is a wasteful number, since it uses less digits than its factorization.

312110122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274703 (or 274666 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 312110122011 its reverse (110221011213), we get a palindrome (422331133224).

The spelling of 312110122011 in words is "three hundred twelve billion, one hundred ten million, one hundred twenty-two thousand, eleven".

Divisors: 1 3 37 111 277 831 1369 4107 10249 30747 274349 379213 823047 1137639 10150913 30452739 75994673 227984019 375583781 1126751343 2811802901 8435408703 104036707337 312110122011