Search a number
-
+
212012022300 = 2235213475911423
BaseRepresentation
bin1100010101110011100…
…1101011101000011100
3202021020111000122100020
43011130321223220130
511433200034203200
6241221425232140
721213566312121
oct3053471535034
9667214018306
10212012022300
1181a06294361
123510a492650
1316cb9b02b90
14a39354c748
1557accbbea0
hex315ce6ba1c

212012022300 has 144 divisors (see below), whose sum is σ = 660804372480. Its totient is φ = 52172040960.

The previous prime is 212012022269. The next prime is 212012022307. The reversal of 212012022300 is 3220210212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212012022300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012022307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18554389 + ... + 18565811.

Almost surely, 2212012022300 is an apocalyptic number.

212012022300 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 212012022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330402186240).

212012022300 is an abundant number, since it is smaller than the sum of its proper divisors (448792350180).

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

212012022300 is a wasteful number, since it uses less digits than its factorization.

212012022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16212 (or 16205 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212012022300 its reverse (3220210212), we get a palindrome (215232232512).

The spelling of 212012022300 in words is "two hundred twelve billion, twelve million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 4759 9518 11423 14277 19036 22846 23795 28554 34269 45692 47590 57108 57115 61867 68538 71385 95180 114230 118975 123734 137076 142770 148499 171345 185601 228460 237950 247468 285540 285575 296998 309335 342690 356925 371202 445497 475900 571150 593996 618670 685380 713850 742404 742495 856725 890994 928005 1142300 1237340 1427700 1484990 1546675 1713450 1781988 1856010 2227485 2969980 3093350 3426900 3712020 3712475 4454970 4640025 6186700 7424950 8909940 9280050 11137425 14849900 18560100 22274850 44549700 54362057 108724114 163086171 217448228 271810285 326172342 543620570 652344684 706706741 815430855 1087241140 1359051425 1413413482 1630861710 2120120223 2718102850 2826826964 3261723420 3533533705 4077154275 4240240446 5436205700 7067067410 8154308550 8480480892 10600601115 14134134820 16308617100 17667668525 21201202230 35335337050 42402404460 53003005575 70670674100 106006011150 212012022300