Search a number
-
+
110203000122330 = 232510969116257223
BaseRepresentation
bin11001000011101010100010…
…101011001110101111011010
3112110012022012120002110202100
4121003222202223032233122
5103421031221012403310
61030214320452544230
732132622035216103
oct3103524253165732
9473168176073670
10110203000122330
1132128914645735
121043a0b5922076
13496513801873b
141d2dbd465b3aa
15cb1976251ec0
hex643aa2acebda

110203000122330 has 96 divisors (see below), whose sum is σ = 289574974465920. Its totient is φ = 29075716402560.

The previous prime is 110203000122317. The next prime is 110203000122349. The reversal of 110203000122330 is 33221000302011.

110203000122330 is a `hidden beast` number, since 1 + 1 + 0 + 20 + 300 + 0 + 12 + 2 + 330 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1349902 + ... + 14907321.

It is an arithmetic number, because the mean of its divisors is an integer number (3016405984020).

Almost surely, 2110203000122330 is an apocalyptic number.

110203000122330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110203000122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144787487232960).

110203000122330 is an abundant number, since it is smaller than the sum of its proper divisors (179371974343590).

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

110203000122330 is a wasteful number, since it uses less digits than its factorization.

110203000122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16258036 (or 16258033 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 110203000122330 its reverse (33221000302011), we get a palindrome (143424000424341).

The spelling of 110203000122330 in words is "one hundred ten trillion, two hundred three billion, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 691 981 1090 1382 1635 1962 2073 3270 3455 4146 4905 6219 6910 9810 10365 12438 20730 31095 62190 75319 150638 225957 376595 451914 677871 753190 1129785 1355742 2259570 3389355 6778710 16257223 32514446 48771669 81286115 97543338 146315007 162572230 243858345 292630014 487716690 731575035 1463150070 1772037307 3544074614 5316111921 8860186535 10632223842 11233741093 15948335763 17720373070 22467482186 26580559605 31896671526 33701223279 53161119210 56168705465 67402446558 79741678815 101103669837 112337410930 159483357630 168506116395 202207339674 337012232790 505518349185 1011036698370 1224477779137 2448955558274 3673433337411 6122388895685 7346866674822 11020300012233 12244777791370 18367166687055 22040600024466 36734333374110 55101500061165 110203000122330