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213314204424244 = 227113121009714257
BaseRepresentation
bin110000100000001000010101…
…011000010101100000110100
31000222021122020200012010111211
4300200020111120111200310
5210424414442313033434
62033403105341211204
762634304561532260
oct6040102530254064
91028248220163454
10213314204424244
1161a72056342530
121bb1187b560b04
13920459b82aa51
143a966694790a0
15199dbd2e48464
hexc20215615834

213314204424244 has 144 divisors (see below), whose sum is σ = 481387721431680. Its totient is φ = 80348657356800.

The previous prime is 213314204424199. The next prime is 213314204424257. The reversal of 213314204424244 is 442424402413312.

It is a junction number, because it is equal to n+sod(n) for n = 213314204424197 and 213314204424206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298294764 + ... + 299009020.

It is an arithmetic number, because the mean of its divisors is an integer number (3342970287720).

Almost surely, 2213314204424244 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 213314204424244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240693860715840).

213314204424244 is an abundant number, since it is smaller than the sum of its proper divisors (268073517007436).

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

213314204424244 is a wasteful number, since it uses less digits than its factorization.

213314204424244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715350 (or 715317 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 213314204424244 its reverse (442424402413312), we get a palindrome (655738606837556).

The spelling of 213314204424244 in words is "two hundred thirteen trillion, three hundred fourteen billion, two hundred four million, four hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 961 1009 1364 1922 2018 2387 3844 4036 4774 6727 7063 9548 10571 11099 13454 14126 21142 22198 26908 28252 31279 42284 44396 62558 73997 77693 125116 147994 155386 218953 295988 310772 344069 437906 688138 714257 875812 969649 1376276 1428514 1939298 2408483 2857028 3878596 4816966 4999799 6787543 7856827 9633932 9999598 10666139 13575086 15713654 19999196 21332278 22141967 27150172 31427308 42664556 44283934 54997789 74662973 88567868 109995578 149325946 154993769 219991156 243561637 298651892 309987538 487123274 619975076 686400977 720685313 974246548 1372801954 1441370626 1704931459 2745603908 2882741252 3409862918 4804806839 5044797191 6819725836 7550410747 7927538443 9609613678 10089594382 15100821494 15855076886 19219227356 20179188764 22341244703 30201642988 31710153772 44682489406 52852875229 55492769101 89364978812 105705750458 110985538202 156388712921 211411500916 221971076404 245753691733 312777425842 491507383466 625554851684 692578585793 983014766932 1385157171586 1720275842131 2770314343172 3440551684262 4848050100551 6881103368524 7618364443723 9696100201102 15236728887446 19392200402204 30473457774892 53328551106061 106657102212122 213314204424244