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111022212210104 = 2313291571034322669
BaseRepresentation
bin11001001111100101011111…
…100001010101110110111000
3112120002121201212011101121102
4121033211133201111312320
5104022441442311210404
61032042522235030532
732246042626114616
oct3117453741256670
9476077655141542
10111022212210104
113241428a4a4318
1210550a2229b448
1349c447135ca90
141d5b70a3a86b6
15cc7e2102471e
hex64f95f855db8

111022212210104 has 128 divisors (see below), whose sum is σ = 233419786992000. Its totient is φ = 49152046454784.

The previous prime is 111022212210097. The next prime is 111022212210121. The reversal of 111022212210104 is 401012212220111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4897523282 + ... + 4897545950.

It is an arithmetic number, because the mean of its divisors is an integer number (1823592085875).

Almost surely, 2111022212210104 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 111022212210104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116709893496000).

111022212210104 is an abundant number, since it is smaller than the sum of its proper divisors (122397574781896).

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

111022212210104 is a wasteful number, since it uses less digits than its factorization.

111022212210104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33217 (or 33213 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 111022212210104 its reverse (401012212220111), we get a palindrome (512034424430215).

The spelling of 111022212210104 in words is "one hundred eleven trillion, twenty-two billion, two hundred twelve million, two hundred ten thousand, one hundred four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 157 232 314 377 628 754 1256 1508 2041 3016 4082 4553 8164 9106 10343 16328 18212 20686 22669 36424 41372 45338 59189 82744 90676 118378 134459 181352 236756 268918 294697 299947 473512 537836 589394 599894 657401 1075672 1178788 1199788 1314802 1623851 2357576 2399576 2629604 3247702 3559033 3899311 5259208 6495404 7118066 7798622 8546213 12990808 14236132 15597244 17092426 21110063 28472264 31194488 34184852 42220126 46267429 47091679 68369704 84440252 92534858 94183358 103211957 168880504 185069716 188366716 206423914 234465467 370139432 376733432 412847828 468930934 612191827 825695656 937861868 1224383654 1341755441 1875723736 2448767308 2683510882 3048051071 4897534616 5367021764 6096102142 6799498543 10734043528 12192204284 13598997086 24384408568 27197994172 36811078319 54395988344 73622156638 88393481059 147244313276 176786962118 294488626552 353573924236 478544018147 707147848472 957088036294 1067521271251 1914176072588 2135042542502 3828352145176 4270085085004 8540170170008 13877776526263 27755553052526 55511106105052 111022212210104