Search a number
-
+
110022100000 = 25553135491
BaseRepresentation
bin110011001110111010…
…1000000010000100000
3101111222121222202212121
41212131311000100200
53300311124200000
6122313215234024
710643310263641
oct1463565002040
9344877882777
10110022100000
114272967517a
12193a6218914
13a4b4c67127
14547a0d76c8
152cde010b1a
hex199dd40420

110022100000 has 144 divisors (see below), whose sum is σ = 279481612032. Its totient is φ = 42588000000.

The previous prime is 110022099991. The next prime is 110022100009. The reversal of 110022100000 is 1220011.

It is an interprime number because it is at equal distance from previous prime (110022099991) and next prime (110022100009).

It is not an unprimeable number, because it can be changed into a prime (110022100009) 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, 3082255 + ... + 3117745.

It is an arithmetic number, because the mean of its divisors is an integer number (1940844528).

Almost surely, 2110022100000 is an apocalyptic number.

110022100000 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 110022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139740806016).

110022100000 is an abundant number, since it is smaller than the sum of its proper divisors (169459512032).

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

110022100000 is an frugal number, since it uses more digits than its factorization.

110022100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35557 (or 35529 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 110022100000 its reverse (1220011), we get a palindrome (110023320011).

The spelling of 110022100000 in words is "one hundred ten billion, twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 625 775 800 992 1000 1240 1250 1550 2000 2480 2500 3100 3125 3875 4000 4960 5000 6200 6250 7750 10000 12400 12500 15500 19375 20000 24800 25000 31000 35491 38750 50000 62000 70982 77500 96875 100000 124000 141964 155000 177455 193750 283928 310000 354910 387500 567856 620000 709820 775000 887275 1100221 1135712 1419640 1550000 1774550 2200442 2839280 3100000 3549100 4400884 4436375 5501105 5678560 7098200 8801768 8872750 11002210 14196400 17603536 17745500 22004420 22181875 27505525 28392800 35207072 35491000 44008840 44363750 55011050 70982000 88017680 88727500 110022100 110909375 137527625 141964000 176035360 177455000 220044200 221818750 275055250 354910000 440088400 443637500 550110500 687638125 709820000 880176800 887275000 1100221000 1375276250 1774550000 2200442000 2750552500 3438190625 3549100000 4400884000 5501105000 6876381250 11002210000 13752762500 22004420000 27505525000 55011050000 110022100000