Search a number
-
+
110130320000 = 27543314159
BaseRepresentation
bin110011010010001000…
…1110101001010000000
3101112021011121220210202
41212210101311022000
53301021330220000
6122332042544332
710646063163101
oct1464421651200
9345234556722
10110130320000
1142784770498
12194165080a8
13a5014c822c
14548a6283a8
152ce878add5
hex19a4475280

110130320000 has 160 divisors (see below), whose sum is σ = 275056953600. Its totient is φ = 43908480000.

The previous prime is 110130319997. The next prime is 110130320011. The reversal of 110130320000 is 23031011.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26477921 + ... + 26482079.

It is an arithmetic number, because the mean of its divisors is an integer number (1719105960).

Almost surely, 2110130320000 is an apocalyptic number.

110130320000 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 110130320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137528476800).

110130320000 is an abundant number, since it is smaller than the sum of its proper divisors (164926633600).

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

110130320000 is an frugal number, since it uses more digits than its factorization.

110130320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 110130320000 its reverse (23031011), we get a palindrome (110153351011).

The spelling of 110130320000 in words is "one hundred ten billion, one hundred thirty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 331 400 500 625 640 662 800 1000 1250 1324 1600 1655 2000 2500 2648 3200 3310 4000 4159 5000 5296 6620 8000 8275 8318 10000 10592 13240 16000 16550 16636 20000 20795 21184 26480 33100 33272 40000 41375 41590 42368 52960 66200 66544 80000 82750 83180 103975 105920 132400 133088 165500 166360 206875 207950 211840 264800 266176 331000 332720 413750 415900 519875 529600 532352 662000 665440 827500 831800 1039750 1059200 1324000 1330880 1376629 1655000 1663600 2079500 2599375 2648000 2661760 2753258 3310000 3327200 4159000 5198750 5296000 5506516 6620000 6654400 6883145 8318000 10397500 11013032 13240000 13308800 13766290 16636000 20795000 22026064 26480000 27532580 33272000 34415725 41590000 44052128 55065160 66544000 68831450 83180000 88104256 110130320 137662900 166360000 172078625 176208512 220260640 275325800 332720000 344157250 440521280 550651600 688314500 860393125 881042560 1101303200 1376629000 1720786250 2202606400 2753258000 3441572500 4405212800 5506516000 6883145000 11013032000 13766290000 22026064000 27532580000 55065160000 110130320000