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110212220020 = 22572294877963
BaseRepresentation
bin110011010100100101…
…0010000010001110100
3101112110212201212111211
41212221022100101310
53301203312020040
6122344130211204
710651106261500
oct1465112202164
9345425655454
10110212220020
1142816a1a161
1219439a23b04
13a515472396
145497467300
152d00a678ea
hex19a9290474

110212220020 has 144 divisors (see below), whose sum is σ = 279123546240. Its totient is φ = 36404557056.

The previous prime is 110212220009. The next prime is 110212220023. The reversal of 110212220020 is 20022212011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212220023) 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, 13836559 + ... + 13844521.

It is an arithmetic number, because the mean of its divisors is an integer number (1938357960).

Almost surely, 2110212220020 is an apocalyptic number.

110212220020 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 110212220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139561773120).

110212220020 is an abundant number, since it is smaller than the sum of its proper divisors (168911326220).

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

110212220020 is a wasteful number, since it uses less digits than its factorization.

110212220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 8493 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 110212220020 its reverse (20022212011), we get a palindrome (130234432031).

The spelling of 110212220020 in words is "one hundred ten billion, two hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 487 490 580 812 974 980 1015 1421 1948 2030 2435 2842 3409 4060 4870 5684 6818 7105 7963 9740 13636 14123 14210 15926 17045 23863 28246 28420 31852 34090 39815 47726 55741 56492 68180 70615 79630 95452 98861 111482 119315 141230 159260 197722 222964 230927 238630 278705 282460 390187 395444 461854 477260 494305 557410 692027 780374 923708 988610 1114820 1154635 1384054 1560748 1616489 1950935 1977220 2309270 2768108 3232978 3460135 3877981 3901870 4618540 6465956 6920270 7755962 7803740 8082445 11315423 13840540 15511924 16164890 19389905 22630846 27145867 32329780 38779810 45261692 54291734 56577115 77559620 108583468 112461449 113154230 135729335 190021069 224922898 226308460 271458670 380042138 449845796 542917340 562307245 760084276 787230143 950105345 1124614490 1574460286 1900210690 2249228980 3148920572 3800421380 3936150715 5510611001 7872301430 11021222002 15744602860 22042444004 27553055005 55106110010 110212220020