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212098265160 = 233512723958231
BaseRepresentation
bin1100010110001000001…
…0101011000001001000
3202021110111022020022020
43011202002223001020
511433334123441120
6241234145524440
721215664336045
oct3054202530110
9667414266266
10212098265160
1181a4aa39951
1235133343720
131700193a962
14a3a0b9c1cc
1557b5655640
hex31620ab048

212098265160 has 128 divisors (see below), whose sum is σ = 643999334400. Its totient is φ = 55878439680.

The previous prime is 212098265143. The next prime is 212098265173. The reversal of 212098265160 is 61562890212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3613245 + ... + 3671475.

It is an arithmetic number, because the mean of its divisors is an integer number (5031244800).

Almost surely, 2212098265160 is an apocalyptic number.

212098265160 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 212098265160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321999667200).

212098265160 is an abundant number, since it is smaller than the sum of its proper divisors (431901069240).

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

212098265160 is a wasteful number, since it uses less digits than its factorization.

212098265160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58611 (or 58607 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 212098265160 in words is "two hundred twelve billion, ninety-eight million, two hundred sixty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 239 254 381 478 508 635 717 762 956 1016 1195 1270 1434 1524 1905 1912 2390 2540 2868 3048 3585 3810 4780 5080 5736 7170 7620 9560 14340 15240 28680 30353 58231 60706 91059 116462 121412 151765 174693 182118 232924 242824 291155 303530 349386 364236 455295 465848 582310 607060 698772 728472 873465 910590 1164620 1214120 1397544 1746930 1821180 2329240 3493860 3642360 6987720 7395337 13917209 14790674 22186011 27834418 29581348 36976685 41751627 44372022 55668836 59162696 69586045 73953370 83503254 88744044 110930055 111337672 139172090 147906740 167006508 177488088 208758135 221860110 278344180 295813480 334013016 417516270 443720220 556688360 835032540 887440440 1670065080 1767485543 3534971086 5302456629 7069942172 8837427715 10604913258 14139884344 17674855430 21209826516 26512283145 35349710860 42419653032 53024566290 70699421720 106049132580 212098265160