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212101547064 = 2331117191247433
BaseRepresentation
bin1100010110001000111…
…1001100010000111000
3202021110201110222020020
43011202033030100320
511433340444001224
6241234344130440
721216034255221
oct3054217142070
9667421428206
10212101547064
1181a51880670
1235134466a20
1317002519704
14a3a13b4248
1557b5aa2c79
hex31623cc438

212101547064 has 128 divisors (see below), whose sum is σ = 615694970880. Its totient is φ = 60175462400.

The previous prime is 212101546981. The next prime is 212101547071. The reversal of 212101547064 is 460745101212.

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

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, 733492 + ... + 980924.

It is an arithmetic number, because the mean of its divisors is an integer number (4810116960).

Almost surely, 2212101547064 is an apocalyptic number.

212101547064 is a gapful number since it is divisible by the number (24) 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 212101547064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307847485440).

212101547064 is an abundant number, since it is smaller than the sum of its proper divisors (403593423816).

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

212101547064 is a wasteful number, since it uses less digits than its factorization.

212101547064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247661 (or 247657 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 212101547064 its reverse (460745101212), we get a palindrome (672846648276).

The spelling of 212101547064 in words is "two hundred twelve billion, one hundred one million, five hundred forty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 191 204 264 374 382 408 561 573 748 764 1122 1146 1496 1528 2101 2244 2292 3247 4202 4488 4584 6303 6494 8404 9741 12606 12988 16808 19482 25212 25976 35717 38964 50424 71434 77928 107151 142868 214302 247433 285736 428604 494866 742299 857208 989732 1484598 1979464 2721763 2969196 4206361 5443526 5938392 8165289 8412722 10887052 12619083 16330578 16825444 21774104 25238166 32661156 33650888 46269971 47259703 50476332 65322312 92539942 94519406 100952664 138809913 141779109 185079884 189038812 277619826 283558218 370159768 378077624 519856733 555239652 567116436 803414951 1039713466 1110479304 1134232872 1559570199 1606829902 2079426932 2410244853 3119140398 3213659804 4158853864 4820489706 6238280796 6427319608 8837564461 9640979412 12476561592 17675128922 19281958824 26512693383 35350257844 53025386766 70700515688 106050773532 212101547064