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212302113320 = 2351141572309
BaseRepresentation
bin1100010110111000110…
…0010010101000101000
3202021222200212210102002
43011232030102220220
511434243320111240
6241310311030132
721224021121413
oct3055614225050
9667880783362
10212302113320
1182045010000
123518b66b348
1317034c4167b
14a3bdca2b7a
1557c84bed15
hex316e312a28

212302113320 has 160 divisors (see below), whose sum is σ = 529020261000. Its totient is φ = 76675822080.

The previous prime is 212302113313. The next prime is 212302113329. The reversal of 212302113320 is 23311203212.

It can be written as a sum of positive squares in 4 ways, for example, as 182026809316 + 30275304004 = 426646^2 + 173998^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212302113292 and 212302113301.

It is not an unprimeable number, because it can be changed into a prime (212302113329) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91944326 + ... + 91946634.

Almost surely, 2212302113320 is an apocalyptic number.

212302113320 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 212302113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264510130500).

212302113320 is an abundant number, since it is smaller than the sum of its proper divisors (316718147680).

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

212302113320 is a wasteful number, since it uses less digits than its factorization.

212302113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212302113320 its reverse (23311203212), we get a palindrome (235613316532).

The spelling of 212302113320 in words is "two hundred twelve billion, three hundred two million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 157 220 242 314 440 484 605 628 785 968 1210 1256 1331 1570 1727 2309 2420 2662 3140 3454 4618 4840 5324 6280 6655 6908 8635 9236 10648 11545 13310 13816 14641 17270 18472 18997 23090 25399 26620 29282 34540 37994 46180 50798 53240 58564 69080 73205 75988 92360 94985 101596 117128 126995 146410 151976 189970 203192 208967 253990 279389 292820 362513 379940 417934 507980 558778 585640 725026 759880 835868 1015960 1044835 1117556 1396945 1450052 1671736 1812565 2089670 2235112 2298637 2793890 2900104 3073279 3625130 3987643 4179340 4597274 5587780 6146558 7250260 7975286 8358680 9194548 11175560 11493185 12293116 14500520 15366395 15950572 18389096 19938215 22986370 24586232 30732790 31901144 33806069 39876430 43864073 45972740 61465580 67612138 79752860 87728146 91945480 122931160 135224276 159505720 169030345 175456292 219320365 270448552 338060690 350912584 438640730 482504803 676121380 877281460 965009606 1352242760 1754562920 1930019212 2412524015 3860038424 4825048030 5307552833 9650096060 10615105666 19300192120 21230211332 26537764165 42460422664 53075528330 106151056660 212302113320