Search a number
-
+
312221213000 = 23533678111049
BaseRepresentation
bin1001000101100011101…
…01011010000101001000
31002211220020021222021122
410202301311122011020
520103412112304000
6355233224054412
731362063344054
oct4426165320510
91084806258248
10312221213000
1111045980a534
1250616304408
1323599a66ca8
141117c2a4c64
1581c5579085
hex48b1d5a148

312221213000 has 128 divisors (see below), whose sum is σ = 734190912000. Its totient is φ = 124276032000.

The previous prime is 312221212973. The next prime is 312221213077. The reversal of 312221213000 is 312122213.

It is a self number, because there is not a number n which added to its sum of digits gives 312221213000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297636476 + ... + 297637524.

It is an arithmetic number, because the mean of its divisors is an integer number (5735866500).

Almost surely, 2312221213000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312221213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367095456000).

312221213000 is an abundant number, since it is smaller than the sum of its proper divisors (421969699000).

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

312221213000 is a wasteful number, since it uses less digits than its factorization.

312221213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 312221213000 its reverse (312122213), we get a palindrome (312533335213).

The spelling of 312221213000 in words is "three hundred twelve billion, two hundred twenty-one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 367 500 734 811 1000 1049 1468 1622 1835 2098 2936 3244 3670 4055 4196 5245 6488 7340 8110 8392 9175 10490 14680 16220 18350 20275 20980 26225 32440 36700 40550 41960 45875 52450 73400 81100 91750 101375 104900 131125 162200 183500 202750 209800 262250 297637 367000 384983 405500 524500 595274 769966 811000 850739 1049000 1190548 1488185 1539932 1701478 1924915 2381096 2976370 3079864 3402956 3849830 4253695 5952740 6805912 7440925 7699660 8507390 9624575 11905480 14881850 15399320 17014780 19249150 21268475 29763700 34029560 37204625 38498300 42536950 48122875 59527400 74409250 76996600 85073900 96245750 106342375 148818500 170147800 192491500 212684750 297637000 312221213 384983000 425369500 624442426 850739000 1248884852 1561106065 2497769704 3122212130 6244424260 7805530325 12488848520 15611060650 31222121300 39027651625 62444242600 78055303250 156110606500 312221213000