Search a number
-
+
312001201220 = 22586328036449
BaseRepresentation
bin1001000101001001011…
…10001000010001000100
31002211022220022012212012
410202210232020101010
520102434301414340
6355155324313352
731353452311232
oct4424456102104
91084286265765
10312001201220
111103565a9415
12505746a2858
13235632c40c7
141115ad93952
1581b10ba565
hex48a4b88444

312001201220 has 48 divisors (see below), whose sum is σ = 656297510400. Its totient is φ = 124592073216.

The previous prime is 312001201217. The next prime is 312001201241. The reversal of 312001201220 is 22102100213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312001201195 and 312001201204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48376556 + ... + 48383004.

It is an arithmetic number, because the mean of its divisors is an integer number (13672864800).

Almost surely, 2312001201220 is an apocalyptic number.

It is an amenable number.

312001201220 is an abundant number, since it is smaller than the sum of its proper divisors (344296309180).

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

312001201220 is a wasteful number, since it uses less digits than its factorization.

312001201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10124 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 312001201220 its reverse (22102100213), we get a palindrome (334103301433).

The spelling of 312001201220 in words is "three hundred twelve billion, one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 863 1726 2803 3452 4315 5606 6449 8630 11212 12898 14015 17260 25796 28030 32245 56060 64490 128980 2418989 4837978 5565487 9675956 11130974 12094945 18076547 22261948 24189890 27827435 36153094 48379780 55654870 72306188 90382735 111309740 180765470 361530940 15600060061 31200120122 62400240244 78000300305 156000600610 312001201220