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212800371630 = 235711361725469
BaseRepresentation
bin1100011000101111100…
…0111111101110101110
3202100021102102221022120
43012023320333232232
511441303343343010
6241431550253410
721242251212510
oct3061370775656
9670242387276
10212800371630
1182280297930
12352aa4b7266
13170b4236a82
14a42a123bb0
1558070e1e70
hex318be3fbae

212800371630 has 128 divisors (see below), whose sum is σ = 636943979520. Its totient is φ = 44204298240.

The previous prime is 212800371601. The next prime is 212800371631. The reversal of 212800371630 is 36173008212.

It is a super-2 number, since 2×2128003716302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 212800371591 and 212800371600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212800371631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8342536 + ... + 8368004.

It is an arithmetic number, because the mean of its divisors is an integer number (4976124840).

Almost surely, 2212800371630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212800371630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318471989760).

212800371630 is an abundant number, since it is smaller than the sum of its proper divisors (424143607890).

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

212800371630 is a wasteful number, since it uses less digits than its factorization.

212800371630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29114.

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 212800371630 its reverse (36173008212), we get a palindrome (248973379842).

The spelling of 212800371630 in words is "two hundred twelve billion, eight hundred million, three hundred seventy-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 3617 7234 10851 18085 21702 25319 25469 36170 39787 50638 50938 54255 75957 76407 79574 108510 119361 126595 127345 151914 152814 178283 198935 238722 253190 254690 278509 280159 356566 379785 382035 397870 534849 557018 560318 596805 759570 764070 835527 840477 891415 1069698 1193610 1392545 1400795 1671054 1680954 1782830 1961113 2674245 2785090 2801590 3922226 4177635 4202385 5348490 5883339 8355270 8404770 9805565 11766678 19611130 29416695 58833390 92121373 184242746 276364119 460606865 552728238 644849611 921213730 1013335103 1289699222 1381820595 1934548833 2026670206 2763641190 3040005309 3224248055 3869097666 5066675515 6080010618 6448496110 7093345721 9672744165 10133351030 14186691442 15200026545 19345488330 21280037163 30400053090 35466728605 42560074326 70933457210 106400185815 212800371630