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212011013312 = 26723109188767
BaseRepresentation
bin1100010101110011010…
…1110101010011000000
3202021020102010101021022
43011130311311103000
511433144304411222
6241221351445012
721213554610350
oct3053465652300
9667212111238
10212011013312
1181a0576528a
123510a086768
1316cb983b847
14a393368b60
1557acb6d042
hex315cd754c0

212011013312 has 112 divisors (see below), whose sum is σ = 506321080320. Its totient is φ = 86113539072.

The previous prime is 212011013311. The next prime is 212011013321. The reversal of 212011013312 is 213310110212.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (212011013311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028753 + ... + 1217519.

Almost surely, 2212011013312 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 212011013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253160540160).

212011013312 is an abundant number, since it is smaller than the sum of its proper divisors (294310067008).

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

212011013312 is a wasteful number, since it uses less digits than its factorization.

212011013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188918 (or 188908 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 212011013312 its reverse (213310110212), we get a palindrome (425321123524).

The spelling of 212011013312 in words is "two hundred twelve billion, eleven million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 109 112 161 184 218 224 322 368 436 448 644 736 763 872 1288 1472 1526 1744 2507 2576 3052 3488 5014 5152 6104 6976 10028 10304 12208 17549 20056 24416 35098 40112 48832 70196 80224 140392 160448 188767 280784 377534 561568 755068 1123136 1321369 1510136 2642738 3020272 4341641 5285476 6040544 8683282 10570952 12081088 17366564 20575603 21141904 30391487 34733128 41151206 42283808 60782974 69466256 82302412 84567616 121565948 138932512 144029221 164604824 243131896 277865024 288058442 329209648 473238869 486263792 576116884 658419296 946477738 972527584 1152233768 1316838592 1892955476 1945055168 2304467536 3312672083 3785910952 4608935072 6625344166 7571821904 9217870144 13250688332 15143643808 26501376664 30287287616 53002753328 106005506656 212011013312