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110021141321322 = 237118317117167621
BaseRepresentation
bin11001000001000001001011…
…000010111101011001101010
3112102112220210111200011212220
4121001001023002331121222
5103410041244134240242
61025555003051414510
732113523306010060
oct3101011302753152
9472486714604786
10110021141321322
1132068782037880
121040aa01754436
134950c45266b4a
141d250a1a40030
15cabd80777bec
hex64104b0bd66a

110021141321322 has 128 divisors (see below), whose sum is σ = 277661589424128. Its totient is φ = 28230801772800.

The previous prime is 110021141321303. The next prime is 110021141321347. The reversal of 110021141321322 is 223123141120011.

It is a junction number, because it is equal to n+sod(n) for n = 110021141321292 and 110021141321301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656284672 + ... + 656452292.

It is an arithmetic number, because the mean of its divisors is an integer number (2169231167376).

Almost surely, 2110021141321322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110021141321322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138830794712064).

110021141321322 is an abundant number, since it is smaller than the sum of its proper divisors (167640448102806).

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

110021141321322 is a wasteful number, since it uses less digits than its factorization.

110021141321322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184844.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 110021141321322 its reverse (223123141120011), we get a palindrome (333144282441333).

The spelling of 110021141321322 in words is "one hundred ten trillion, twenty-one billion, one hundred forty-one million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 83 154 166 231 249 462 498 581 913 1162 1743 1826 2739 3486 5478 6391 12782 17117 19173 34234 38346 51351 102702 119819 167621 188287 239638 335242 359457 376574 502863 564861 718914 1005726 1129722 1173347 1318009 1420711 1843831 2346694 2636018 2841422 3520041 3687662 3954027 4262133 5531493 7040082 7908054 8524266 9944977 11062986 12906817 13912543 15627821 19889954 25813634 27825086 29834931 31255642 38720451 41737629 46883463 59669862 77440902 83475258 93766926 97387801 109394747 153037973 194775602 218789494 292163403 306075946 328184241 459113919 584326806 656368482 918227838 1071265811 2142531622 2869168657 3213797433 5738337314 6427594866 8607505971 17215011942 20084180599 31560855227 40168361198 60252541797 63121710454 94682565681 120505083594 189365131362 220925986589 238140998531 441851973178 476281997062 662777959767 714422995593 1325555919534 1428845991186 1666986989717 2619550983841 3333973979434 5000960969151 5239101967682 7858652951523 10001921938302 15717305903046 18336856886887 36673713773774 55010570660661 110021141321322