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110202120022120 = 235717104922070263
BaseRepresentation
bin11001000011101001101110…
…001101111010100001101000
3112110012012221020000202020021
4121003221232031322201220
5103421022420211201440
61030214053253210224
732132561160411220
oct3103515615724150
9473165836022207
10110202120022120
1132128502875395
1210439aab030974
13496502789b999
141d2db4d801080
15cb1923d5684a
hex643a6e37a868

110202120022120 has 128 divisors (see below), whose sum is σ = 300332152512000. Its totient is φ = 35527118708736.

The previous prime is 110202120022117. The next prime is 110202120022139. The reversal of 110202120022120 is 21220021202011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110202120022094 and 110202120022103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6041892 + ... + 16028371.

It is an arithmetic number, because the mean of its divisors is an integer number (2346344941500).

Almost surely, 2110202120022120 is an apocalyptic number.

110202120022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110202120022120 is an abundant number, since it is smaller than the sum of its proper divisors (190130032489880).

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

110202120022120 is a wasteful number, since it uses less digits than its factorization.

110202120022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22071347 (or 22071343 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110202120022120 its reverse (21220021202011), we get a palindrome (131422141224131).

The spelling of 110202120022120 in words is "one hundred ten trillion, two hundred two billion, one hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1049 1190 2098 2380 4196 4760 5245 7343 8392 10490 14686 17833 20980 29372 35666 36715 41960 58744 71332 73430 89165 124831 142664 146860 178330 249662 293720 356660 499324 624155 713320 998648 1248310 2496620 4993240 22070263 44140526 88281052 110351315 154491841 176562104 220702630 308983682 375194471 441405260 617967364 750388942 772459205 882810520 1235934728 1500777884 1544918410 1875972355 2626361297 3001555768 3089836820 3751944710 5252722594 6179673640 7503889420 10505445188 13131806485 15007778840 21010890376 23151705887 26263612970 46303411774 52527225940 92606823548 105054451880 115758529435 162061941209 185213647096 231517058870 324123882418 393579000079 463034117740 648247764836 787158000158 810309706045 926068235480 1296495529672 1574316000316 1620619412090 1967895000395 2755053000553 3148632000632 3241238824180 3935790000790 5510106001106 6482477648360 7871580001580 11020212002212 13775265002765 15743160003160 22040424004424 27550530005530 55101060011060 110202120022120