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210312120330 = 23451342147441
BaseRepresentation
bin1100001111011110010…
…1000100100000001010
3202002212000100200020000
43003313211010200022
511421204400322310
6240341022343430
721123505345524
oct3036745044012
9662760320200
10210312120330
11812137888a4
123491512ab76
1316aa888c120
14a271890a14
15570d9374c0
hex30f794480a

210312120330 has 160 divisors (see below), whose sum is σ = 610465817808. Its totient is φ = 51645081600.

The previous prime is 210312120301. The next prime is 210312120353. The reversal of 210312120330 is 33021213012.

210312120330 is a `hidden beast` number, since 2 + 1 + 0 + 312 + 1 + 20 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2192767929 + 208119352401 = 46827^2 + 456201^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4409410 + ... + 4456850.

Almost surely, 2210312120330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210312120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305232908904).

210312120330 is an abundant number, since it is smaller than the sum of its proper divisors (400153697478).

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

210312120330 is a wasteful number, since it uses less digits than its factorization.

210312120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47894 (or 47885 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 210312120330 its reverse (33021213012), we get a palindrome (243333333342).

The spelling of 210312120330 in words is "two hundred ten billion, three hundred twelve million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 421 585 702 810 842 1053 1170 1263 1755 2105 2106 2526 3510 3789 4210 5265 5473 6315 7578 10530 10946 11367 12630 16419 18945 22734 27365 32838 34101 37890 47441 49257 54730 56835 68202 82095 94882 98514 113670 142323 147771 164190 170505 237205 246285 284646 295542 341010 426969 443313 474410 492570 616733 711615 738855 853938 886626 1233466 1280907 1423230 1477710 1850199 2134845 2216565 2561814 3083665 3700398 3842721 4269690 4433130 5550597 6167330 6404535 7685442 9250995 11101194 12809070 16651791 18501990 19213605 19972661 27752985 33303582 38427210 39945322 49955373 55505970 59917983 83258955 99863305 99910746 119835966 166517910 179753949 199726610 249776865 259644593 299589915 359507898 499553730 519289186 539261847 599179830 778933779 898769745 1078523694 1298222965 1557867558 1617785541 1797539490 2336801337 2596445930 2696309235 3235571082 3894668895 4673602674 5392618470 7010404011 7789337790 8088927705 11684006685 14020808022 16177855410 21031212033 23368013370 35052020055 42062424066 70104040110 105156060165 210312120330