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111110011012 = 227111323252457
BaseRepresentation
bin110011101111010101…
…1000011100010000100
3101121210110002101020001
41213132223003202010
53310023130323022
6123013201051044
711012260340110
oct1473653034204
9347713071201
10111110011012
1143137782890
121964a626a84
13a629474460
1455407aa740
152d547a9b27
hex19deac3884

111110011012 has 144 divisors (see below), whose sum is σ = 272919249792. Its totient is φ = 38221539840.

The previous prime is 111110011009. The next prime is 111110011021. The reversal of 111110011012 is 210110011111.

It is a super-2 number, since 2×1111100110122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111110011012.

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, 2091888 + ... + 2144344.

It is an arithmetic number, because the mean of its divisors is an integer number (1895272568).

Almost surely, 2111110011012 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 111110011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136459624896).

111110011012 is an abundant number, since it is smaller than the sum of its proper divisors (161809238780).

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

111110011012 is a wasteful number, since it uses less digits than its factorization.

111110011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52538 (or 52513 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111110011012 its reverse (210110011111), we get a palindrome (321220022123).

Subtracting 111110011012 from its reverse (210110011111), we obtain a palindrome (99000000099).

The spelling of 111110011012 in words is "one hundred eleven billion, one hundred ten million, eleven thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 23 26 28 44 46 52 77 91 92 143 154 161 182 253 286 299 308 322 364 506 529 572 598 644 1001 1012 1058 1196 1771 2002 2093 2116 3289 3542 3703 4004 4186 5819 6578 6877 7084 7406 8372 11638 13156 13754 14812 23023 23276 27508 40733 46046 48139 52457 75647 81466 92092 96278 104914 151294 162932 192556 209828 302588 367199 529529 577027 681941 734398 1059058 1154054 1206511 1363882 1468796 2118116 2308108 2413022 2727764 4039189 4773587 4826044 7501351 8078378 8445577 9547174 13271621 15002702 15684643 16156756 16891154 19094348 26543242 27749753 30005404 31369286 33782308 52509457 53086484 55499506 62738572 92901347 105018914 109792501 110999012 172531073 185802694 194248271 210037828 219585002 305247283 345062146 360746789 371605388 388496542 439170004 610494566 690124292 721493578 776993084 1207717511 1220989132 1442987156 2136730981 2415435022 2525227523 3968214679 4273461962 4830870044 5050455046 7936429358 8546923924 10100910092 15872858716 27777502753 55555005506 111110011012