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212103133312 = 2771514093833
BaseRepresentation
bin1100010110001001010…
…1001111100010000000
3202021110211110120011011
43011202111033202000
511433341400231222
6241234442130304
721216053612650
oct3054225174200
9667424416134
10212103133312
1181a52764414
1235134ab0994
1317002953715
14a3a16a8360
1557b5cb7c77
hex316254f880

212103133312 has 128 divisors (see below), whose sum is σ = 487427155200. Its totient is φ = 90055065600.

The previous prime is 212103133279. The next prime is 212103133337. The reversal of 212103133312 is 213331301212.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55334148 + ... + 55337980.

It is an arithmetic number, because the mean of its divisors is an integer number (3808024650).

Almost surely, 2212103133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212103133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243713577600).

212103133312 is an abundant number, since it is smaller than the sum of its proper divisors (275324021888).

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

212103133312 is a wasteful number, since it uses less digits than its factorization.

212103133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 212103133312 its reverse (213331301212), we get a palindrome (425434434524).

The spelling of 212103133312 in words is "two hundred twelve billion, one hundred three million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 151 224 302 409 448 604 818 896 1057 1208 1636 2114 2416 2863 3272 3833 4228 4832 5726 6544 7666 8456 9664 11452 13088 15332 16912 19328 22904 26176 26831 30664 33824 45808 52352 53662 61328 61759 67648 91616 107324 122656 123518 135296 183232 214648 245312 247036 366464 429296 432313 490624 494072 578783 858592 864626 988144 1157566 1567697 1717184 1729252 1976288 2315132 3135394 3434368 3458504 3952576 4051481 4630264 6270788 6917008 7905152 8102962 9260528 10973879 12541576 13834016 16205924 18521056 21947758 25083152 27668032 32411848 37042112 43895516 50166304 55336064 64823696 74084224 87791032 100332608 129647392 175582064 200665216 236722247 259294784 351164128 473444494 518589568 702328256 946888988 1404656512 1657055729 1893777976 3314111458 3787555952 6628222916 7575111904 13256445832 15150223808 26512891664 30300447616 53025783328 106051566656 212103133312