Search a number
-
+
211211330424 = 233418923910091
BaseRepresentation
bin1100010010110100101…
…1010010001101111000
3202012011200101021120120
43010231023102031320
511430030100033144
6241010143453240
721155004454353
oct3045513221570
9665150337516
10211211330424
1181635320736
1234b262b7220
1316bbcc6a0c3
14a31908329a
155762859e19
hex312d2d2378

211211330424 has 128 divisors (see below), whose sum is σ = 549327744000. Its totient is φ = 67623987200.

The previous prime is 211211330417. The next prime is 211211330431. The reversal of 211211330424 is 424033112112.

It is an interprime number because it is at equal distance from previous prime (211211330417) and next prime (211211330431).

It is a super-2 number, since 2×2112113304242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 211211330394 and 211211330403.

It is a congruent number.

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, 20925619 + ... + 20935709.

It is an arithmetic number, because the mean of its divisors is an integer number (4291623000).

Almost surely, 2211211330424 is an apocalyptic number.

211211330424 is a gapful number since it is divisible by the number (24) 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 211211330424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274663872000).

211211330424 is an abundant number, since it is smaller than the sum of its proper divisors (338116413576).

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

211211330424 is a wasteful number, since it uses less digits than its factorization.

211211330424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10469 (or 10465 counting only the distinct ones).

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

Adding to 211211330424 its reverse (424033112112), we get a palindrome (635244442536).

The spelling of 211211330424 in words is "two hundred eleven billion, two hundred eleven million, three hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 89 123 164 178 239 246 267 328 356 478 492 534 712 717 956 984 1068 1434 1912 2136 2868 3649 5736 7298 9799 10091 10947 14596 19598 20182 21271 21894 29192 29397 30273 39196 40364 42542 43788 58794 60546 63813 78392 80728 85084 87576 117588 121092 127626 170168 235176 242184 255252 413731 510504 827462 872111 898099 1241193 1654924 1744222 1796198 2411749 2482386 2616333 2694297 3309848 3488444 3592396 4823498 4964772 5232666 5388594 6976888 7184792 7235247 9646996 9929544 10465332 10777188 14470494 19293992 20930664 21554376 28940988 36822059 57881976 73644118 98881709 110466177 147288236 197763418 214645661 220932354 294576472 296645127 395526836 429291322 441864708 593290254 643936983 791053672 858582644 883729416 1186580508 1287873966 1717165288 2373161016 2575747932 5151495864 8800472101 17600944202 26401416303 35201888404 52802832606 70403776808 105605665212 211211330424