Search a number
-
+
212111010320 = 245112311639011
BaseRepresentation
bin1100010110001011001…
…1010010101000010000
3202021111101021202101012
43011202303102220100
511433400404312240
6241235323030052
721216210560666
oct3054263225020
9667441252335
10212111010320
1181a57154540
123513766b328
1317004480b81
14a3a2758c36
1557b6821b65
hex3162cd2a10

212111010320 has 160 divisors (see below), whose sum is σ = 561926605824. Its totient is φ = 73706124800.

The previous prime is 212111010317. The next prime is 212111010379. The reversal of 212111010320 is 23010111212.

It is a super-2 number, since 2×2121110103202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212111010295 and 212111010304.

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, 23534615 + ... + 23543625.

Almost surely, 2212111010320 is an apocalyptic number.

212111010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280963302912).

212111010320 is an abundant number, since it is smaller than the sum of its proper divisors (349815595504).

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

212111010320 is a wasteful number, since it uses less digits than its factorization.

212111010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10221 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 212111010320 its reverse (23010111212), we get a palindrome (235121121532).

The spelling of 212111010320 in words is "two hundred twelve billion, one hundred eleven million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1163 1265 1840 2024 2326 2530 4048 4652 5060 5815 9011 9304 10120 11630 12793 18022 18608 20240 23260 25586 26749 36044 45055 46520 51172 53498 63965 72088 90110 93040 99121 102344 106996 127930 133745 144176 180220 198242 204688 207253 213992 255860 267490 294239 360440 396484 414506 427984 495605 511720 534980 588478 720880 792968 829012 991210 1023440 1036265 1069960 1176956 1471195 1585936 1658024 1982420 2072530 2139920 2279783 2353912 2942390 3316048 3964840 4145060 4559566 4707824 5884780 7929680 8290120 9119132 10479793 11398915 11769560 16580240 18238264 20959586 22797830 23539120 36476528 41919172 45595660 52398965 83838344 91191320 104797930 115277723 167676688 182382640 209595860 230555446 241035239 419191720 461110892 482070478 576388615 838383440 922221784 964140956 1152777230 1205176195 1844443568 1928281912 2305554460 2410352390 2651387629 3856563824 4611108920 4820704780 5302775258 9222217840 9641409560 10605550516 13256938145 19282819120 21211101032 26513876290 42422202064 53027752580 106055505160 212111010320