Search a number
-
+
110022020221120 = 265770429697397
BaseRepresentation
bin11001000001000001111111…
…011011101100100011000000
3112102120000001202110220202021
4121001001333123230203000
5103410100044134033440
61025555230205331224
732113554140355130
oct3101017733544300
9472500052426667
10110022020221120
1132069093168247
121040b007b66b14
1349510553833b7
141d25146666ac0
15cabdd29d784a
hex64107f6ec8c0

110022020221120 has 112 divisors (see below), whose sum is σ = 299421749989440. Its totient is φ = 37721245814784.

The previous prime is 110022020221039. The next prime is 110022020221129. The reversal of 110022020221120 is 21122020220011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110022020221094 and 110022020221103.

It is not an unprimeable number, because it can be changed into a prime (110022020221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157412262 + ... + 158109658.

Almost surely, 2110022020221120 is an apocalyptic number.

110022020221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110022020221120 is an abundant number, since it is smaller than the sum of its proper divisors (189399729768320).

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

110022020221120 is an equidigital number, since it uses as much as digits as its factorization.

110022020221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767850 (or 767840 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110022020221120 its reverse (21122020220011), we get a palindrome (131144040441131).

The spelling of 110022020221120 in words is "one hundred ten trillion, twenty-two billion, twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 70429 140858 281716 352145 493003 563432 697397 704290 986006 1126864 1394794 1408580 1972012 2253728 2465015 2789588 2817160 3486985 3944024 4507456 4881779 4930030 5579176 5634320 6973970 7888048 9763558 9860060 11158352 11268640 13947940 15776096 19527116 19720120 22316704 22537280 24408895 27895880 31552192 39054232 39440240 44633408 48817790 55791760 78108464 78880480 97635580 111583520 156216928 157760960 195271160 223167040 312433856 390542320 781084640 1562169280 49116973313 98233946626 196467893252 245584866565 343818813191 392935786504 491169733130 687637626382 785871573008 982339466260 1375275252764 1571743146016 1719094065955 1964678932520 2750550505528 3143486292032 3438188131910 3929357865040 5501101011056 6876376263820 7858715730080 11002202022112 13752752527640 15717431460160 22004404044224 27505505055280 55011010110560 110022020221120