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110020011011220 = 22358352814183369
BaseRepresentation
bin11001000001000000000111…
…101011001010110010010100
3112102112210212201210110220210
4121001000013223022302110
5103410031440304324340
61025554254553125420
732113453302354252
oct3101000753126224
9472483781713823
10110020011011220
11320682520000a2
121040a7470b9870
134950ac5032cbb
141d24dd58915d2
15cabd16406180
hex641007acac94

110020011011220 has 96 divisors (see below), whose sum is σ = 311826659518080. Its totient is φ = 28979696148480.

The previous prime is 110020011011203. The next prime is 110020011011297. The reversal of 110020011011220 is 22110110020011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110020011011196 and 110020011011205.

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, 24207696 + ... + 28391064.

It is an arithmetic number, because the mean of its divisors is an integer number (3248194369980).

Almost surely, 2110020011011220 is an apocalyptic number.

110020011011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110020011011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155913329759040).

110020011011220 is an abundant number, since it is smaller than the sum of its proper divisors (201806648506860).

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

110020011011220 is a wasteful number, since it uses less digits than its factorization.

110020011011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188745 (or 4188743 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110020011011220 its reverse (22110110020011), we get a palindrome (132130121031231).

The spelling of 110020011011220 in words is "one hundred ten trillion, twenty billion, eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 5281 10562 15843 21124 26405 31686 52810 63372 79215 105620 158430 316860 438323 876646 1314969 1753292 2191615 2629938 4183369 4383230 5259876 6574845 8366738 8766460 12550107 13149690 16733476 20916845 25100214 26299380 41833690 50200428 62750535 83667380 125501070 251002140 347219627 694439254 1041658881 1388878508 1736098135 2083317762 3472196270 4166635524 5208294405 6944392540 10416588810 20833177620 22092371689 44184743378 66277115067 88369486756 110461858445 132554230134 220923716890 265108460268 331385575335 441847433780 662771150670 1325542301340 1833666850187 3667333700374 5501000550561 7334667400748 9168334250935 11002001101122 18336668501870 22004002202244 27505002752805 36673337003740 55010005505610 110020011011220