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110032230220020 = 2232519167192653693
BaseRepresentation
bin11001000001001011011111…
…111111110000000011110100
3112102120222102022101121012200
4121001023133333300003310
5103410232001414020040
61030004035253144500
732114365145050563
oct3101133777600364
9472528368347180
10110032230220020
1132072452474569
1210410b9732b130
134951cc1719074
141d25834651bda
15cac2ce027630
hex6412dfff00f4

110032230220020 has 144 divisors (see below), whose sum is σ = 353434760864640. Its totient is φ = 27631163121408.

The previous prime is 110032230219997. The next prime is 110032230220027. The reversal of 110032230220020 is 20022032230011.

110032230220020 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 322 + 302 + 20 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110032230219975 and 110032230220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110032230220027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95755707 + ... + 96897986.

It is an arithmetic number, because the mean of its divisors is an integer number (2454408061560).

Almost surely, 2110032230220020 is an apocalyptic number.

110032230220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110032230220020 is an abundant number, since it is smaller than the sum of its proper divisors (243402530644620).

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

110032230220020 is a wasteful number, since it uses less digits than its factorization.

110032230220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192653894 (or 192653889 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 110032230220020 its reverse (20022032230011), we get a palindrome (130054262450031).

The spelling of 110032230220020 in words is "one hundred ten trillion, thirty-two billion, two hundred thirty million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 167 171 180 190 228 285 334 342 380 501 570 668 684 835 855 1002 1140 1503 1670 1710 2004 2505 3006 3173 3340 3420 5010 6012 6346 7515 9519 10020 12692 15030 15865 19038 28557 30060 31730 38076 47595 57114 63460 95190 114228 142785 190380 285570 571140 192653693 385307386 577961079 770614772 963268465 1155922158 1733883237 1926536930 2311844316 2889805395 3467766474 3660420167 3853073860 5779610790 6935532948 7320840334 8669416185 10981260501 11559221580 14641680668 17338832370 18302100835 21962521002 32173166731 32943781503 34677664740 36604201670 43925042004 54906302505 64346333462 65887563006 73208403340 96519500193 109812605010 128692666924 131775126012 160865833655 164718907515 193039000386 219625210020 289558500579 321731667310 329437815030 386078000772 482597500965 579117001158 611290167889 643463334620 658875630060 965195001930 1158234002316 1222580335778 1447792502895 1833870503667 1930390003860 2445160671556 2895585005790 3056450839445 3667741007334 5501611511001 5791170011580 6112901678890 7335482014668 9169352518335 11003223022002 12225803357780 18338705036670 22006446044004 27508057555005 36677410073340 55016115110010 110032230220020