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212012300240 = 24513538274651
BaseRepresentation
bin1100010101110011101…
…0101111011111010000
3202021020111112202121022
43011130322233133100
511433200122101430
6241221435215012
721213601550336
oct3053472573720
9667214482538
10212012300240
1181a06464164
123510a5a7468
1316cb9b9c540
14a3935c1b56
1557acd244e5
hex315ceaf7d0

212012300240 has 160 divisors (see below), whose sum is σ = 541632583296. Its totient is φ = 76695091200.

The previous prime is 212012300239. The next prime is 212012300251. The reversal of 212012300240 is 42003210212.

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, 45581915 + ... + 45586565.

Almost surely, 2212012300240 is an apocalyptic number.

212012300240 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 212012300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816291648).

212012300240 is an abundant number, since it is smaller than the sum of its proper divisors (329620283056).

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

212012300240 is a wasteful number, since it uses less digits than its factorization.

212012300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 212012300240 its reverse (42003210212), we get a palindrome (254015510452).

The spelling of 212012300240 in words is "two hundred twelve billion, twelve million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 260 265 424 520 530 689 827 848 1040 1060 1378 1654 2120 2756 3308 3445 4135 4240 4651 5512 6616 6890 8270 9302 10751 11024 13232 13780 16540 18604 21502 23255 27560 33080 37208 43004 43831 46510 53755 55120 60463 66160 74416 86008 87662 93020 107510 120926 172016 175324 186040 215020 219155 241852 246503 302315 350648 372080 430040 438310 483704 493006 569803 604630 701296 860080 876620 967408 986012 1139606 1209260 1232515 1753240 1972024 2279212 2418520 2465030 2849015 3204539 3506480 3846377 3944048 4558424 4837040 4930060 5698030 6409078 7692754 9116848 9860120 11396060 12818156 15385508 16022695 19231885 19720240 22792120 25636312 30771016 32045390 38463770 45584240 50002901 51272624 61542032 64090780 76927540 100005802 128181560 153855080 200011604 203857981 250014505 256363120 307710160 400023208 407715962 500029010 800046416 815431924 1000058020 1019289905 1630863848 2000116040 2038579810 2650153753 3261727696 4000232080 4077159620 5300307506 8154319240 10600615012 13250768765 16308638480 21201230024 26501537530 42402460048 53003075060 106006150120 212012300240