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212323302120 = 23355389375103
BaseRepresentation
bin1100010110111101110…
…1000111101011101000
3202022001011202021222110
43011233131013223220
511434314231131440
6241312345122320
721224366201346
oct3055735075350
9668034667873
10212323302120
1182055a72506
12351967893a0
131703944cc17
14a3c2a1a996
1557ca2a8080
hex316f747ae8

212323302120 has 128 divisors (see below), whose sum is σ = 656281958400. Its totient is φ = 54926936064.

The previous prime is 212323302101. The next prime is 212323302143. The reversal of 212323302120 is 21203323212.

It is a happy 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, 378489 + ... + 753591.

It is an arithmetic number, because the mean of its divisors is an integer number (5127202800).

Almost surely, 2212323302120 is an apocalyptic number.

212323302120 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 212323302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328140979200).

212323302120 is an abundant number, since it is smaller than the sum of its proper divisors (443958656280).

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

212323302120 is a wasteful number, since it uses less digits than its factorization.

212323302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375259 (or 375255 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212323302120 its reverse (21203323212), we get a palindrome (233526625332).

The spelling of 212323302120 in words is "two hundred twelve billion, three hundred twenty-three million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 89 106 120 159 178 212 265 267 318 356 424 445 530 534 636 712 795 890 1060 1068 1272 1335 1590 1780 2120 2136 2670 3180 3560 4717 5340 6360 9434 10680 14151 18868 23585 28302 37736 47170 56604 70755 94340 113208 141510 188680 283020 375103 566040 750206 1125309 1500412 1875515 2250618 3000824 3751030 4501236 5626545 7502060 9002472 11253090 15004120 19880459 22506180 33384167 39760918 45012360 59641377 66768334 79521836 99402295 100152501 119282754 133536668 159043672 166920835 198804590 200305002 238565508 267073336 298206885 333841670 397609180 400610004 477131016 500762505 596413770 667683340 795218360 801220008 1001525010 1192827540 1335366680 1769360851 2003050020 2385655080 3538721702 4006100040 5308082553 7077443404 8846804255 10616165106 14154886808 17693608510 21232330212 26540412765 35387217020 42464660424 53080825530 70774434040 106161651060 212323302120