Search a number
-
+
312112430124 = 223113613654439
BaseRepresentation
bin1001000101010110101…
…10011011110000101100
31002211121122121020020020
410202223112123300230
520103201240230444
6355214340322140
731356302611605
oct4425326336054
91084548536206
10312112430124
1111040336a330
12505a59a3350
1323580369921
141116ba68dac
1581bac3c119
hex48ab59bc2c

312112430124 has 48 divisors (see below), whose sum is σ = 794689109760. Its totient is φ = 94553202240.

The previous prime is 312112430107. The next prime is 312112430137. The reversal of 312112430124 is 421034211213.

It is a junction number, because it is equal to n+sod(n) for n = 312112430094 and 312112430103.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 149697 + ... + 804135.

It is an arithmetic number, because the mean of its divisors is an integer number (16556023120).

Almost surely, 2312112430124 is an apocalyptic number.

It is an amenable number.

312112430124 is an abundant number, since it is smaller than the sum of its proper divisors (482576679636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312112430124 is a wasteful number, since it uses less digits than its factorization.

312112430124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658070 (or 658068 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312112430124 its reverse (421034211213), we get a palindrome (733146641337).

Subtracting 312112430124 from its reverse (421034211213), we obtain a square (108921781089 = 3300332).

The spelling of 312112430124 in words is "three hundred twelve billion, one hundred twelve million, four hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3613 7226 10839 14452 21678 39743 43356 79486 119229 158972 238458 476916 654439 1308878 1963317 2617756 3926634 7198829 7853268 14397658 21596487 28795316 43192974 86385948 2364488107 4728976214 7093464321 9457952428 14186928642 26009369177 28373857284 52018738354 78028107531 104037476708 156056215062 312112430124