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101212103223 = 32721127272609
BaseRepresentation
bin101111001000010110…
…1100010001000110111
3100200020122102120021200
41132100231202020313
53124240244300343
6114255102343543
710212062453100
oct1362055421067
9320218376250
10101212103223
1139a18659200
121774788abb3
13970c980b9a
144c820213a7
1529758664d3
hex1790b62237

101212103223 has 108 divisors (see below), whose sum is σ = 187258584240. Its totient is φ = 52485269760.

The previous prime is 101212103183. The next prime is 101212103233. The reversal of 101212103223 is 322301212101.

101212103223 is a `hidden beast` number, since 10 + 121 + 210 + 322 + 3 = 666.

It is not a de Polignac number, because 101212103223 - 216 = 101212037687 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101212103196 and 101212103205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212103233) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38792143 + ... + 38794751.

It is an arithmetic number, because the mean of its divisors is an integer number (1733875780).

Almost surely, 2101212103223 is an apocalyptic number.

101212103223 is a deficient number, since it is larger than the sum of its proper divisors (86046481017).

101212103223 is a wasteful number, since it uses less digits than its factorization.

101212103223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101212103223 its reverse (322301212101), we get a palindrome (423513315324).

The spelling of 101212103223 in words is "one hundred one billion, two hundred twelve million, one hundred three thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 727 847 1089 1617 2181 2541 2609 4851 5089 5929 6543 7623 7827 7997 15267 17787 18263 23481 23991 28699 35623 45801 53361 54789 55979 71973 86097 87967 106869 127841 164367 167937 200893 258291 263901 315689 320607 383523 391853 503811 602679 615769 791703 947067 1150569 1175559 1406251 1808037 1847307 1896743 2209823 2841201 3526677 4218753 4310383 5541921 5690229 6629469 12656259 12931149 13277201 15468761 17070687 19888407 20864173 38793447 39831603 46406283 62592519 92940407 119494809 139218849 146049211 187777557 229505903 278821221 438147633 688517709 836463663 1022344477 1314442899 1606541321 2065553127 3067033431 4819623963 9201100293 11245789247 14458871889 33737367741 101212103223