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110130133022200 = 23523152373391813
BaseRepresentation
bin11001000010100110101011…
…011101010011010111111000
3112102221100010022210020220001
4121002212223131103113320
5103413333003023202300
61030121030142042344
732124432235122664
oct3102465335232770
9472840108706801
10110130133022200
11320aaa22005925
1210427b5a8793b4
13495b2c48ac245
141d2a480d558a4
15caeb0e0a016a
hex6429ab7535f8

110130133022200 has 96 divisors (see below), whose sum is σ = 264362867372160. Its totient is φ = 42622866316800.

The previous prime is 110130133022183. The next prime is 110130133022209. The reversal of 110130133022200 is 2220331031011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110130133022209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30773494 + ... + 34165306.

It is an arithmetic number, because the mean of its divisors is an integer number (2753779868460).

Almost surely, 2110130133022200 is an apocalyptic number.

110130133022200 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 110130133022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132181433686080).

110130133022200 is an abundant number, since it is smaller than the sum of its proper divisors (154232734349960).

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

110130133022200 is a wasteful number, since it uses less digits than its factorization.

110130133022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397097 (or 3397088 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 110130133022200 its reverse (2220331031011), we get a palindrome (112350464053211).

The spelling of 110130133022200 in words is "one hundred ten trillion, one hundred thirty billion, one hundred thirty-three million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 5237 6200 10474 20948 26185 41896 52370 104740 130925 162347 209480 261850 324694 523700 649388 811735 1047400 1298776 1623470 3246940 3391813 4058675 6493880 6783626 8117350 13567252 16234700 16959065 27134504 32469400 33918130 67836260 84795325 105146203 135672520 169590650 210292406 339181300 420584812 525731015 678362600 841169624 1051462030 2102924060 2628655075 4205848120 5257310150 10514620300 17762924681 21029240600 35525849362 71051698724 88814623405 142103397448 177629246810 355258493620 444073117025 550650665111 710516987240 888146234050 1101301330222 1776292468100 2202602660444 2753253325555 3552584936200 4405205320888 5506506651110 11013013302220 13766266627775 22026026604440 27532533255550 55065066511100 110130133022200